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Finding the Third Proportional to 132,598.88 and 286,379.25

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Solution

The third proportional to 132,598.88 and 286,379.25 is: 618,505.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,598.88 : 286,379.25 = 286,379.25 : x
  2. Step 2: Convert to fraction form
    132,598.88/286,379.25 = 286,379.25/x
  3. Step 3: Cross multiply
    132,598.88x = 286,379.25 × 286,379.25
  4. Step 4: Simplify right side
    132,598.88x = 82,013,074,830.56
  5. Step 5: Solve for x
    x = 82,013,074,830.56/132,598.88
  6. Step 6: Final answer
    x = 618,505.06

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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.