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Finding the Third Proportional to 132,730.22 and 286,591.31

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Solution

The third proportional to 132,730.22 and 286,591.31 is: 618,808.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,730.22 : 286,591.31 = 286,591.31 : x
  2. Step 2: Convert to fraction form
    132,730.22/286,591.31 = 286,591.31/x
  3. Step 3: Cross multiply
    132,730.22x = 286,591.31 × 286,591.31
  4. Step 4: Simplify right side
    132,730.22x = 82,134,580,400.47
  5. Step 5: Solve for x
    x = 82,134,580,400.47/132,730.22
  6. Step 6: Final answer
    x = 618,808.45

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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.