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Finding the Third Proportional to 129,409.50 and 279,231

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Solution

The third proportional to 129,409.50 and 279,231 is: 602,505.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,409.50 : 279,231 = 279,231 : x
  2. Step 2: Convert to fraction form
    129,409.50/279,231 = 279,231/x
  3. Step 3: Cross multiply
    129,409.50x = 279,231 × 279,231
  4. Step 4: Simplify right side
    129,409.50x = 77,969,951,361
  5. Step 5: Solve for x
    x = 77,969,951,361/129,409.50
  6. Step 6: Final answer
    x = 602,505.62

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