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Finding the Third Proportional to 171,282 and 361,029

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Solution

The third proportional to 171,282 and 361,029 is: 760,978.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,282 : 361,029 = 361,029 : x
  2. Step 2: Convert to fraction form
    171,282/361,029 = 361,029/x
  3. Step 3: Cross multiply
    171,282x = 361,029 × 361,029
  4. Step 4: Simplify right side
    171,282x = 130,341,938,841
  5. Step 5: Solve for x
    x = 130,341,938,841/171,282
  6. Step 6: Final answer
    x = 760,978.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.