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Finding the Third Proportional to 128,780 and 197,010.50

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Solution

The third proportional to 128,780 and 197,010.50 is: 301,391.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,780 : 197,010.50 = 197,010.50 : x
  2. Step 2: Convert to fraction form
    128,780/197,010.50 = 197,010.50/x
  3. Step 3: Cross multiply
    128,780x = 197,010.50 × 197,010.50
  4. Step 4: Simplify right side
    128,780x = 38,813,137,110.25
  5. Step 5: Solve for x
    x = 38,813,137,110.25/128,780
  6. Step 6: Final answer
    x = 301,391.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.