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Finding the Third Proportional to 113,900 and 242,464

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Solution

The third proportional to 113,900 and 242,464 is: 516,143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,900 : 242,464 = 242,464 : x
  2. Step 2: Convert to fraction form
    113,900/242,464 = 242,464/x
  3. Step 3: Cross multiply
    113,900x = 242,464 × 242,464
  4. Step 4: Simplify right side
    113,900x = 58,788,791,296
  5. Step 5: Solve for x
    x = 58,788,791,296/113,900
  6. Step 6: Final answer
    x = 516,143.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.