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Finding the Third Proportional to 169,984 and 250,027

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Solution

The third proportional to 169,984 and 250,027 is: 367,761.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,984 : 250,027 = 250,027 : x
  2. Step 2: Convert to fraction form
    169,984/250,027 = 250,027/x
  3. Step 3: Cross multiply
    169,984x = 250,027 × 250,027
  4. Step 4: Simplify right side
    169,984x = 62,513,500,729
  5. Step 5: Solve for x
    x = 62,513,500,729/169,984
  6. Step 6: Final answer
    x = 367,761.09

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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.