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Finding the Third Proportional to 107,632 and 234,920

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Solution

The third proportional to 107,632 and 234,920 is: 512,741.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,632 : 234,920 = 234,920 : x
  2. Step 2: Convert to fraction form
    107,632/234,920 = 234,920/x
  3. Step 3: Cross multiply
    107,632x = 234,920 × 234,920
  4. Step 4: Simplify right side
    107,632x = 55,187,406,400
  5. Step 5: Solve for x
    x = 55,187,406,400/107,632
  6. Step 6: Final answer
    x = 512,741.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.