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Finding the Third Proportional to 132,032 and 285,107.50

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Solution

The third proportional to 132,032 and 285,107.50 is: 615,655.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,032 : 285,107.50 = 285,107.50 : x
  2. Step 2: Convert to fraction form
    132,032/285,107.50 = 285,107.50/x
  3. Step 3: Cross multiply
    132,032x = 285,107.50 × 285,107.50
  4. Step 4: Simplify right side
    132,032x = 81,286,286,556.25
  5. Step 5: Solve for x
    x = 81,286,286,556.25/132,032
  6. Step 6: Final answer
    x = 615,655.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.