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Finding the Third Proportional to 132,193.90 and 287,453.81

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Solution

The third proportional to 132,193.90 and 287,453.81 is: 625,064.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,193.90 : 287,453.81 = 287,453.81 : x
  2. Step 2: Convert to fraction form
    132,193.90/287,453.81 = 287,453.81/x
  3. Step 3: Cross multiply
    132,193.90x = 287,453.81 × 287,453.81
  4. Step 4: Simplify right side
    132,193.90x = 82,629,694,320.79
  5. Step 5: Solve for x
    x = 82,629,694,320.79/132,193.90
  6. Step 6: Final answer
    x = 625,064.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.