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Finding the Third Proportional to 238,737 and 518,160

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Solution

The third proportional to 238,737 and 518,160 is: 1,124,625.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,737 : 518,160 = 518,160 : x
  2. Step 2: Convert to fraction form
    238,737/518,160 = 518,160/x
  3. Step 3: Cross multiply
    238,737x = 518,160 × 518,160
  4. Step 4: Simplify right side
    238,737x = 268,489,785,600
  5. Step 5: Solve for x
    x = 268,489,785,600/238,737
  6. Step 6: Final answer
    x = 1,124,625.78

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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.