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Finding the Third Proportional to 113,536 and 240,908

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Solution

The third proportional to 113,536 and 240,908 is: 511,174.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,536 : 240,908 = 240,908 : x
  2. Step 2: Convert to fraction form
    113,536/240,908 = 240,908/x
  3. Step 3: Cross multiply
    113,536x = 240,908 × 240,908
  4. Step 4: Simplify right side
    113,536x = 58,036,664,464
  5. Step 5: Solve for x
    x = 58,036,664,464/113,536
  6. Step 6: Final answer
    x = 511,174.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.