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Finding the Third Proportional to 136,834.31 and 204,702.19

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Solution

The third proportional to 136,834.31 and 204,702.19 is: 306,231.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,834.31 : 204,702.19 = 204,702.19 : x
  2. Step 2: Convert to fraction form
    136,834.31/204,702.19 = 204,702.19/x
  3. Step 3: Cross multiply
    136,834.31x = 204,702.19 × 204,702.19
  4. Step 4: Simplify right side
    136,834.31x = 41,902,985,567.29
  5. Step 5: Solve for x
    x = 41,902,985,567.29/136,834.31
  6. Step 6: Final answer
    x = 306,231.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.