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Finding the Third Proportional to 171,294 and 243,474

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Solution

The third proportional to 171,294 and 243,474 is: 346,069.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,294 : 243,474 = 243,474 : x
  2. Step 2: Convert to fraction form
    171,294/243,474 = 243,474/x
  3. Step 3: Cross multiply
    171,294x = 243,474 × 243,474
  4. Step 4: Simplify right side
    171,294x = 59,279,588,676
  5. Step 5: Solve for x
    x = 59,279,588,676/171,294
  6. Step 6: Final answer
    x = 346,069.26

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.