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Finding the Third Proportional to 182,750 and 370,520

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Solution

The third proportional to 182,750 and 370,520 is: 751,217.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,750 : 370,520 = 370,520 : x
  2. Step 2: Convert to fraction form
    182,750/370,520 = 370,520/x
  3. Step 3: Cross multiply
    182,750x = 370,520 × 370,520
  4. Step 4: Simplify right side
    182,750x = 137,285,070,400
  5. Step 5: Solve for x
    x = 137,285,070,400/182,750
  6. Step 6: Final answer
    x = 751,217.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.