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Finding the Third Proportional to 129,919.50 and 284,665.50

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Solution

The third proportional to 129,919.50 and 284,665.50 is: 623,728.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,919.50 : 284,665.50 = 284,665.50 : x
  2. Step 2: Convert to fraction form
    129,919.50/284,665.50 = 284,665.50/x
  3. Step 3: Cross multiply
    129,919.50x = 284,665.50 × 284,665.50
  4. Step 4: Simplify right side
    129,919.50x = 81,034,446,890.25
  5. Step 5: Solve for x
    x = 81,034,446,890.25/129,919.50
  6. Step 6: Final answer
    x = 623,728.13

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.