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Finding the Third Proportional to 185,284 and 281,670

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Solution

The third proportional to 185,284 and 281,670 is: 428,196.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,284 : 281,670 = 281,670 : x
  2. Step 2: Convert to fraction form
    185,284/281,670 = 281,670/x
  3. Step 3: Cross multiply
    185,284x = 281,670 × 281,670
  4. Step 4: Simplify right side
    185,284x = 79,337,988,900
  5. Step 5: Solve for x
    x = 79,337,988,900/185,284
  6. Step 6: Final answer
    x = 428,196.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.