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Finding the Third Proportional to 169,924 and 269,948

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Solution

The third proportional to 169,924 and 269,948 is: 428,850.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,924 : 269,948 = 269,948 : x
  2. Step 2: Convert to fraction form
    169,924/269,948 = 269,948/x
  3. Step 3: Cross multiply
    169,924x = 269,948 × 269,948
  4. Step 4: Simplify right side
    169,924x = 72,871,922,704
  5. Step 5: Solve for x
    x = 72,871,922,704/169,924
  6. Step 6: Final answer
    x = 428,850.09

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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.