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Finding the Third Proportional to 132,439.50 and 288,525

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Solution

The third proportional to 132,439.50 and 288,525 is: 628,563.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,439.50 : 288,525 = 288,525 : x
  2. Step 2: Convert to fraction form
    132,439.50/288,525 = 288,525/x
  3. Step 3: Cross multiply
    132,439.50x = 288,525 × 288,525
  4. Step 4: Simplify right side
    132,439.50x = 83,246,675,625
  5. Step 5: Solve for x
    x = 83,246,675,625/132,439.50
  6. Step 6: Final answer
    x = 628,563.80

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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.