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Finding the Third Proportional to 171,572 and 254,872

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Solution

The third proportional to 171,572 and 254,872 is: 378,615.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,572 : 254,872 = 254,872 : x
  2. Step 2: Convert to fraction form
    171,572/254,872 = 254,872/x
  3. Step 3: Cross multiply
    171,572x = 254,872 × 254,872
  4. Step 4: Simplify right side
    171,572x = 64,959,736,384
  5. Step 5: Solve for x
    x = 64,959,736,384/171,572
  6. Step 6: Final answer
    x = 378,615.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.