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Finding the Third Proportional to 146,692 and 217,376

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Solution

The third proportional to 146,692 and 217,376 is: 322,119.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,692 : 217,376 = 217,376 : x
  2. Step 2: Convert to fraction form
    146,692/217,376 = 217,376/x
  3. Step 3: Cross multiply
    146,692x = 217,376 × 217,376
  4. Step 4: Simplify right side
    146,692x = 47,252,325,376
  5. Step 5: Solve for x
    x = 47,252,325,376/146,692
  6. Step 6: Final answer
    x = 322,119.31

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.