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Finding the Third Proportional to 130,999.50 and 197,744.25

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Solution

The third proportional to 130,999.50 and 197,744.25 is: 298,495.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,999.50 : 197,744.25 = 197,744.25 : x
  2. Step 2: Convert to fraction form
    130,999.50/197,744.25 = 197,744.25/x
  3. Step 3: Cross multiply
    130,999.50x = 197,744.25 × 197,744.25
  4. Step 4: Simplify right side
    130,999.50x = 39,102,788,408.06
  5. Step 5: Solve for x
    x = 39,102,788,408.06/130,999.50
  6. Step 6: Final answer
    x = 298,495.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.