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Finding the Third Proportional to 109,446 and 235,632

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Solution

The third proportional to 109,446 and 235,632 is: 507,304.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,446 : 235,632 = 235,632 : x
  2. Step 2: Convert to fraction form
    109,446/235,632 = 235,632/x
  3. Step 3: Cross multiply
    109,446x = 235,632 × 235,632
  4. Step 4: Simplify right side
    109,446x = 55,522,439,424
  5. Step 5: Solve for x
    x = 55,522,439,424/109,446
  6. Step 6: Final answer
    x = 507,304.42

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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.