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Finding the Third Proportional to 159,684 and 250,495.50

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Solution

The third proportional to 159,684 and 250,495.50 is: 392,951.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,684 : 250,495.50 = 250,495.50 : x
  2. Step 2: Convert to fraction form
    159,684/250,495.50 = 250,495.50/x
  3. Step 3: Cross multiply
    159,684x = 250,495.50 × 250,495.50
  4. Step 4: Simplify right side
    159,684x = 62,747,995,520.25
  5. Step 5: Solve for x
    x = 62,747,995,520.25/159,684
  6. Step 6: Final answer
    x = 392,951.05

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.