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Finding the Third Proportional to 169,982 and 250,052

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Solution

The third proportional to 169,982 and 250,052 is: 367,838.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,982 : 250,052 = 250,052 : x
  2. Step 2: Convert to fraction form
    169,982/250,052 = 250,052/x
  3. Step 3: Cross multiply
    169,982x = 250,052 × 250,052
  4. Step 4: Simplify right side
    169,982x = 62,526,002,704
  5. Step 5: Solve for x
    x = 62,526,002,704/169,982
  6. Step 6: Final answer
    x = 367,838.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.