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Finding the Third Proportional to 169,370 and 368,265

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Solution

The third proportional to 169,370 and 368,265 is: 800,726.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,370 : 368,265 = 368,265 : x
  2. Step 2: Convert to fraction form
    169,370/368,265 = 368,265/x
  3. Step 3: Cross multiply
    169,370x = 368,265 × 368,265
  4. Step 4: Simplify right side
    169,370x = 135,619,110,225
  5. Step 5: Solve for x
    x = 135,619,110,225/169,370
  6. Step 6: Final answer
    x = 800,726.87

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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.