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Finding the Third Proportional to 161,808 and 253,274

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Solution

The third proportional to 161,808 and 253,274 is: 396,443.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,808 : 253,274 = 253,274 : x
  2. Step 2: Convert to fraction form
    161,808/253,274 = 253,274/x
  3. Step 3: Cross multiply
    161,808x = 253,274 × 253,274
  4. Step 4: Simplify right side
    161,808x = 64,147,719,076
  5. Step 5: Solve for x
    x = 64,147,719,076/161,808
  6. Step 6: Final answer
    x = 396,443.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.