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Finding the Third Proportional to 130,854 and 207,538

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Solution

The third proportional to 130,854 and 207,538 is: 329,160.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,854 : 207,538 = 207,538 : x
  2. Step 2: Convert to fraction form
    130,854/207,538 = 207,538/x
  3. Step 3: Cross multiply
    130,854x = 207,538 × 207,538
  4. Step 4: Simplify right side
    130,854x = 43,072,021,444
  5. Step 5: Solve for x
    x = 43,072,021,444/130,854
  6. Step 6: Final answer
    x = 329,160.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.