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Finding the Third Proportional to 92,978 and 200,714

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Solution

The third proportional to 92,978 and 200,714 is: 433,286.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,978 : 200,714 = 200,714 : x
  2. Step 2: Convert to fraction form
    92,978/200,714 = 200,714/x
  3. Step 3: Cross multiply
    92,978x = 200,714 × 200,714
  4. Step 4: Simplify right side
    92,978x = 40,286,109,796
  5. Step 5: Solve for x
    x = 40,286,109,796/92,978
  6. Step 6: Final answer
    x = 433,286.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.