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Finding the Third Proportional to 157,854 and 238,414

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Solution

The third proportional to 157,854 and 238,414 is: 360,087.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,854 : 238,414 = 238,414 : x
  2. Step 2: Convert to fraction form
    157,854/238,414 = 238,414/x
  3. Step 3: Cross multiply
    157,854x = 238,414 × 238,414
  4. Step 4: Simplify right side
    157,854x = 56,841,235,396
  5. Step 5: Solve for x
    x = 56,841,235,396/157,854
  6. Step 6: Final answer
    x = 360,087.39

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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.