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Finding the Third Proportional to 169,446 and 368,403

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Solution

The third proportional to 169,446 and 368,403 is: 800,967.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,446 : 368,403 = 368,403 : x
  2. Step 2: Convert to fraction form
    169,446/368,403 = 368,403/x
  3. Step 3: Cross multiply
    169,446x = 368,403 × 368,403
  4. Step 4: Simplify right side
    169,446x = 135,720,770,409
  5. Step 5: Solve for x
    x = 135,720,770,409/169,446
  6. Step 6: Final answer
    x = 800,967.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.