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Finding the Third Proportional to 132,599 and 286,379.50

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Solution

The third proportional to 132,599 and 286,379.50 is: 618,505.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,599 : 286,379.50 = 286,379.50 : x
  2. Step 2: Convert to fraction form
    132,599/286,379.50 = 286,379.50/x
  3. Step 3: Cross multiply
    132,599x = 286,379.50 × 286,379.50
  4. Step 4: Simplify right side
    132,599x = 82,013,218,020.25
  5. Step 5: Solve for x
    x = 82,013,218,020.25/132,599
  6. Step 6: Final answer
    x = 618,505.55

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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.