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Finding the Third Proportional to 113,448 and 243,744

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Solution

The third proportional to 113,448 and 243,744 is: 523,686.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,448 : 243,744 = 243,744 : x
  2. Step 2: Convert to fraction form
    113,448/243,744 = 243,744/x
  3. Step 3: Cross multiply
    113,448x = 243,744 × 243,744
  4. Step 4: Simplify right side
    113,448x = 59,411,137,536
  5. Step 5: Solve for x
    x = 59,411,137,536/113,448
  6. Step 6: Final answer
    x = 523,686.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.