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Finding the Third Proportional to 159,460 and 246,750

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Solution

The third proportional to 159,460 and 246,750 is: 381,823.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,460 : 246,750 = 246,750 : x
  2. Step 2: Convert to fraction form
    159,460/246,750 = 246,750/x
  3. Step 3: Cross multiply
    159,460x = 246,750 × 246,750
  4. Step 4: Simplify right side
    159,460x = 60,885,562,500
  5. Step 5: Solve for x
    x = 60,885,562,500/159,460
  6. Step 6: Final answer
    x = 381,823.42

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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.