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Finding the Third Proportional to 132,032.25 and 285,108

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Solution

The third proportional to 132,032.25 and 285,108 is: 615,656.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,032.25 : 285,108 = 285,108 : x
  2. Step 2: Convert to fraction form
    132,032.25/285,108 = 285,108/x
  3. Step 3: Cross multiply
    132,032.25x = 285,108 × 285,108
  4. Step 4: Simplify right side
    132,032.25x = 81,286,571,664
  5. Step 5: Solve for x
    x = 81,286,571,664/132,032.25
  6. Step 6: Final answer
    x = 615,656.94

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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.