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Finding the Third Proportional to 160,456.50 and 318,035.25

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Solution

The third proportional to 160,456.50 and 318,035.25 is: 630,366.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,456.50 : 318,035.25 = 318,035.25 : x
  2. Step 2: Convert to fraction form
    160,456.50/318,035.25 = 318,035.25/x
  3. Step 3: Cross multiply
    160,456.50x = 318,035.25 × 318,035.25
  4. Step 4: Simplify right side
    160,456.50x = 101,146,420,242.56
  5. Step 5: Solve for x
    x = 101,146,420,242.56/160,456.50
  6. Step 6: Final answer
    x = 630,366.61

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.