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Finding the Third Proportional to 171,650 and 251,331

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Solution

The third proportional to 171,650 and 251,331 is: 368,000.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,650 : 251,331 = 251,331 : x
  2. Step 2: Convert to fraction form
    171,650/251,331 = 251,331/x
  3. Step 3: Cross multiply
    171,650x = 251,331 × 251,331
  4. Step 4: Simplify right side
    171,650x = 63,167,271,561
  5. Step 5: Solve for x
    x = 63,167,271,561/171,650
  6. Step 6: Final answer
    x = 368,000.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.