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Finding the Third Proportional to 115,744 and 237,632

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Solution

The third proportional to 115,744 and 237,632 is: 487,878.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,744 : 237,632 = 237,632 : x
  2. Step 2: Convert to fraction form
    115,744/237,632 = 237,632/x
  3. Step 3: Cross multiply
    115,744x = 237,632 × 237,632
  4. Step 4: Simplify right side
    115,744x = 56,468,967,424
  5. Step 5: Solve for x
    x = 56,468,967,424/115,744
  6. Step 6: Final answer
    x = 487,878.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.