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Finding the Third Proportional to 169,267 and 361,862

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Solution

The third proportional to 169,267 and 361,862 is: 773,595.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,267 : 361,862 = 361,862 : x
  2. Step 2: Convert to fraction form
    169,267/361,862 = 361,862/x
  3. Step 3: Cross multiply
    169,267x = 361,862 × 361,862
  4. Step 4: Simplify right side
    169,267x = 130,944,107,044
  5. Step 5: Solve for x
    x = 130,944,107,044/169,267
  6. Step 6: Final answer
    x = 773,595.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.