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Finding the Third Proportional to 156,646 and 252,226

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Solution

The third proportional to 156,646 and 252,226 is: 406,125.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,646 : 252,226 = 252,226 : x
  2. Step 2: Convert to fraction form
    156,646/252,226 = 252,226/x
  3. Step 3: Cross multiply
    156,646x = 252,226 × 252,226
  4. Step 4: Simplify right side
    156,646x = 63,617,955,076
  5. Step 5: Solve for x
    x = 63,617,955,076/156,646
  6. Step 6: Final answer
    x = 406,125.63

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.