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Finding the Third Proportional to 171,650 and 256,502

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Solution

The third proportional to 171,650 and 256,502 is: 383,299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,650 : 256,502 = 256,502 : x
  2. Step 2: Convert to fraction form
    171,650/256,502 = 256,502/x
  3. Step 3: Cross multiply
    171,650x = 256,502 × 256,502
  4. Step 4: Simplify right side
    171,650x = 65,793,276,004
  5. Step 5: Solve for x
    x = 65,793,276,004/171,650
  6. Step 6: Final answer
    x = 383,299.02

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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.