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Finding the Third Proportional to 159,464 and 246,972

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Solution

The third proportional to 159,464 and 246,972 is: 382,501.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,464 : 246,972 = 246,972 : x
  2. Step 2: Convert to fraction form
    159,464/246,972 = 246,972/x
  3. Step 3: Cross multiply
    159,464x = 246,972 × 246,972
  4. Step 4: Simplify right side
    159,464x = 60,995,168,784
  5. Step 5: Solve for x
    x = 60,995,168,784/159,464
  6. Step 6: Final answer
    x = 382,501.18

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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.