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Finding the Third Proportional to 109,232 and 235,744

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Solution

The third proportional to 109,232 and 235,744 is: 508,781.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,232 : 235,744 = 235,744 : x
  2. Step 2: Convert to fraction form
    109,232/235,744 = 235,744/x
  3. Step 3: Cross multiply
    109,232x = 235,744 × 235,744
  4. Step 4: Simplify right side
    109,232x = 55,575,233,536
  5. Step 5: Solve for x
    x = 55,575,233,536/109,232
  6. Step 6: Final answer
    x = 508,781.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.