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Finding the Third Proportional to 169,577 and 368,314

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Solution

The third proportional to 169,577 and 368,314 is: 799,962.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,577 : 368,314 = 368,314 : x
  2. Step 2: Convert to fraction form
    169,577/368,314 = 368,314/x
  3. Step 3: Cross multiply
    169,577x = 368,314 × 368,314
  4. Step 4: Simplify right side
    169,577x = 135,655,202,596
  5. Step 5: Solve for x
    x = 135,655,202,596/169,577
  6. Step 6: Final answer
    x = 799,962.27

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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.