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Finding the Third Proportional to 129,400.50 and 195,924

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Solution

The third proportional to 129,400.50 and 195,924 is: 296,646.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,400.50 : 195,924 = 195,924 : x
  2. Step 2: Convert to fraction form
    129,400.50/195,924 = 195,924/x
  3. Step 3: Cross multiply
    129,400.50x = 195,924 × 195,924
  4. Step 4: Simplify right side
    129,400.50x = 38,386,213,776
  5. Step 5: Solve for x
    x = 38,386,213,776/129,400.50
  6. Step 6: Final answer
    x = 296,646.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.