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Finding the Third Proportional to 159,468.50 and 246,920.25

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Solution

The third proportional to 159,468.50 and 246,920.25 is: 382,330.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,468.50 : 246,920.25 = 246,920.25 : x
  2. Step 2: Convert to fraction form
    159,468.50/246,920.25 = 246,920.25/x
  3. Step 3: Cross multiply
    159,468.50x = 246,920.25 × 246,920.25
  4. Step 4: Simplify right side
    159,468.50x = 60,969,609,860.06
  5. Step 5: Solve for x
    x = 60,969,609,860.06/159,468.50
  6. Step 6: Final answer
    x = 382,330.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.