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Finding the Third Proportional to 172,472 and 257,644

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Solution

The third proportional to 172,472 and 257,644 is: 384,876.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,472 : 257,644 = 257,644 : x
  2. Step 2: Convert to fraction form
    172,472/257,644 = 257,644/x
  3. Step 3: Cross multiply
    172,472x = 257,644 × 257,644
  4. Step 4: Simplify right side
    172,472x = 66,380,430,736
  5. Step 5: Solve for x
    x = 66,380,430,736/172,472
  6. Step 6: Final answer
    x = 384,876.56

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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.