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Finding the Third Proportional to 120,472.31 and 262,387.69

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Solution

The third proportional to 120,472.31 and 262,387.69 is: 571,478.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,472.31 : 262,387.69 = 262,387.69 : x
  2. Step 2: Convert to fraction form
    120,472.31/262,387.69 = 262,387.69/x
  3. Step 3: Cross multiply
    120,472.31x = 262,387.69 × 262,387.69
  4. Step 4: Simplify right side
    120,472.31x = 68,847,298,551.60
  5. Step 5: Solve for x
    x = 68,847,298,551.60/120,472.31
  6. Step 6: Final answer
    x = 571,478.19

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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.