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Finding the Third Proportional to 132,075 and 278,725.50

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Solution

The third proportional to 132,075 and 278,725.50 is: 588,210.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,075 : 278,725.50 = 278,725.50 : x
  2. Step 2: Convert to fraction form
    132,075/278,725.50 = 278,725.50/x
  3. Step 3: Cross multiply
    132,075x = 278,725.50 × 278,725.50
  4. Step 4: Simplify right side
    132,075x = 77,687,904,350.25
  5. Step 5: Solve for x
    x = 77,687,904,350.25/132,075
  6. Step 6: Final answer
    x = 588,210.52

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.