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Finding the Third Proportional to 161,266 and 254,267

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Solution

The third proportional to 161,266 and 254,267 is: 400,901.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,266 : 254,267 = 254,267 : x
  2. Step 2: Convert to fraction form
    161,266/254,267 = 254,267/x
  3. Step 3: Cross multiply
    161,266x = 254,267 × 254,267
  4. Step 4: Simplify right side
    161,266x = 64,651,707,289
  5. Step 5: Solve for x
    x = 64,651,707,289/161,266
  6. Step 6: Final answer
    x = 400,901.04

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.