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Finding the Third Proportional to 169,952 and 269,926

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Solution

The third proportional to 169,952 and 269,926 is: 428,709.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,952 : 269,926 = 269,926 : x
  2. Step 2: Convert to fraction form
    169,952/269,926 = 269,926/x
  3. Step 3: Cross multiply
    169,952x = 269,926 × 269,926
  4. Step 4: Simplify right side
    169,952x = 72,860,045,476
  5. Step 5: Solve for x
    x = 72,860,045,476/169,952
  6. Step 6: Final answer
    x = 428,709.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.