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Finding the Third Proportional to 132,725.50 and 286,565

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Solution

The third proportional to 132,725.50 and 286,565 is: 618,716.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,725.50 : 286,565 = 286,565 : x
  2. Step 2: Convert to fraction form
    132,725.50/286,565 = 286,565/x
  3. Step 3: Cross multiply
    132,725.50x = 286,565 × 286,565
  4. Step 4: Simplify right side
    132,725.50x = 82,119,499,225
  5. Step 5: Solve for x
    x = 82,119,499,225/132,725.50
  6. Step 6: Final answer
    x = 618,716.82

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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.