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Finding the Third Proportional to 237,729.50 and 518,107

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Solution

The third proportional to 237,729.50 and 518,107 is: 1,129,160.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,729.50 : 518,107 = 518,107 : x
  2. Step 2: Convert to fraction form
    237,729.50/518,107 = 518,107/x
  3. Step 3: Cross multiply
    237,729.50x = 518,107 × 518,107
  4. Step 4: Simplify right side
    237,729.50x = 268,434,863,449
  5. Step 5: Solve for x
    x = 268,434,863,449/237,729.50
  6. Step 6: Final answer
    x = 1,129,160.93

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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.