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Finding the Third Proportional to 129,341.25 and 281,463.75

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Solution

The third proportional to 129,341.25 and 281,463.75 is: 612,502.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,341.25 : 281,463.75 = 281,463.75 : x
  2. Step 2: Convert to fraction form
    129,341.25/281,463.75 = 281,463.75/x
  3. Step 3: Cross multiply
    129,341.25x = 281,463.75 × 281,463.75
  4. Step 4: Simplify right side
    129,341.25x = 79,221,842,564.06
  5. Step 5: Solve for x
    x = 79,221,842,564.06/129,341.25
  6. Step 6: Final answer
    x = 612,502.53

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