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Finding the Third Proportional to 130,993.50 and 197,253

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Solution

The third proportional to 130,993.50 and 197,253 is: 297,028.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,993.50 : 197,253 = 197,253 : x
  2. Step 2: Convert to fraction form
    130,993.50/197,253 = 197,253/x
  3. Step 3: Cross multiply
    130,993.50x = 197,253 × 197,253
  4. Step 4: Simplify right side
    130,993.50x = 38,908,746,009
  5. Step 5: Solve for x
    x = 38,908,746,009/130,993.50
  6. Step 6: Final answer
    x = 297,028.07

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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.