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Finding the Third Proportional to 129,488 and 284,671.50

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Solution

The third proportional to 129,488 and 284,671.50 is: 625,833.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,488 : 284,671.50 = 284,671.50 : x
  2. Step 2: Convert to fraction form
    129,488/284,671.50 = 284,671.50/x
  3. Step 3: Cross multiply
    129,488x = 284,671.50 × 284,671.50
  4. Step 4: Simplify right side
    129,488x = 81,037,862,912.25
  5. Step 5: Solve for x
    x = 81,037,862,912.25/129,488
  6. Step 6: Final answer
    x = 625,833.00

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.