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Finding the Third Proportional to 156,382.50 and 258,837

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Solution

The third proportional to 156,382.50 and 258,837 is: 428,414.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,382.50 : 258,837 = 258,837 : x
  2. Step 2: Convert to fraction form
    156,382.50/258,837 = 258,837/x
  3. Step 3: Cross multiply
    156,382.50x = 258,837 × 258,837
  4. Step 4: Simplify right side
    156,382.50x = 66,996,592,569
  5. Step 5: Solve for x
    x = 66,996,592,569/156,382.50
  6. Step 6: Final answer
    x = 428,414.90

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.