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Finding the Third Proportional to 115,394 and 250,471

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Solution

The third proportional to 115,394 and 250,471 is: 543,665.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,394 : 250,471 = 250,471 : x
  2. Step 2: Convert to fraction form
    115,394/250,471 = 250,471/x
  3. Step 3: Cross multiply
    115,394x = 250,471 × 250,471
  4. Step 4: Simplify right side
    115,394x = 62,735,721,841
  5. Step 5: Solve for x
    x = 62,735,721,841/115,394
  6. Step 6: Final answer
    x = 543,665.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.