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Finding the Third Proportional to 171,469 and 366,580

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Solution

The third proportional to 171,469 and 366,580 is: 783,703.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,469 : 366,580 = 366,580 : x
  2. Step 2: Convert to fraction form
    171,469/366,580 = 366,580/x
  3. Step 3: Cross multiply
    171,469x = 366,580 × 366,580
  4. Step 4: Simplify right side
    171,469x = 134,380,896,400
  5. Step 5: Solve for x
    x = 134,380,896,400/171,469
  6. Step 6: Final answer
    x = 783,703.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.