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Finding the Third Proportional to 132,451.31 and 288,549

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Solution

The third proportional to 132,451.31 and 288,549 is: 628,612.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,451.31 : 288,549 = 288,549 : x
  2. Step 2: Convert to fraction form
    132,451.31/288,549 = 288,549/x
  3. Step 3: Cross multiply
    132,451.31x = 288,549 × 288,549
  4. Step 4: Simplify right side
    132,451.31x = 83,260,525,401
  5. Step 5: Solve for x
    x = 83,260,525,401/132,451.31
  6. Step 6: Final answer
    x = 628,612.31

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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.