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Finding the Third Proportional to 237,732 and 518,112

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Solution

The third proportional to 237,732 and 518,112 is: 1,129,170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,732 : 518,112 = 518,112 : x
  2. Step 2: Convert to fraction form
    237,732/518,112 = 518,112/x
  3. Step 3: Cross multiply
    237,732x = 518,112 × 518,112
  4. Step 4: Simplify right side
    237,732x = 268,440,044,544
  5. Step 5: Solve for x
    x = 268,440,044,544/237,732
  6. Step 6: Final answer
    x = 1,129,170.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.