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Finding the Third Proportional to 132,726.75 and 286,656.75

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Solution

The third proportional to 132,726.75 and 286,656.75 is: 619,107.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,726.75 : 286,656.75 = 286,656.75 : x
  2. Step 2: Convert to fraction form
    132,726.75/286,656.75 = 286,656.75/x
  3. Step 3: Cross multiply
    132,726.75x = 286,656.75 × 286,656.75
  4. Step 4: Simplify right side
    132,726.75x = 82,172,092,320.56
  5. Step 5: Solve for x
    x = 82,172,092,320.56/132,726.75
  6. Step 6: Final answer
    x = 619,107.24

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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.