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Finding the Third Proportional to 129,345.75 and 281,472.75

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Solution

The third proportional to 129,345.75 and 281,472.75 is: 612,520.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,345.75 : 281,472.75 = 281,472.75 : x
  2. Step 2: Convert to fraction form
    129,345.75/281,472.75 = 281,472.75/x
  3. Step 3: Cross multiply
    129,345.75x = 281,472.75 × 281,472.75
  4. Step 4: Simplify right side
    129,345.75x = 79,226,908,992.56
  5. Step 5: Solve for x
    x = 79,226,908,992.56/129,345.75
  6. Step 6: Final answer
    x = 612,520.39

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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.