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Finding the Third Proportional to 170,126 and 366,250

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Solution

The third proportional to 170,126 and 366,250 is: 788,468.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,126 : 366,250 = 366,250 : x
  2. Step 2: Convert to fraction form
    170,126/366,250 = 366,250/x
  3. Step 3: Cross multiply
    170,126x = 366,250 × 366,250
  4. Step 4: Simplify right side
    170,126x = 134,139,062,500
  5. Step 5: Solve for x
    x = 134,139,062,500/170,126
  6. Step 6: Final answer
    x = 788,468.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.