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Finding the Third Proportional to 187,788 and 402,294

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Solution

The third proportional to 187,788 and 402,294 is: 861,825.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,788 : 402,294 = 402,294 : x
  2. Step 2: Convert to fraction form
    187,788/402,294 = 402,294/x
  3. Step 3: Cross multiply
    187,788x = 402,294 × 402,294
  4. Step 4: Simplify right side
    187,788x = 161,840,462,436
  5. Step 5: Solve for x
    x = 161,840,462,436/187,788
  6. Step 6: Final answer
    x = 861,825.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.