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Finding the Third Proportional to 158,008 and 251,288

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Solution

The third proportional to 158,008 and 251,288 is: 399,635.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,008 : 251,288 = 251,288 : x
  2. Step 2: Convert to fraction form
    158,008/251,288 = 251,288/x
  3. Step 3: Cross multiply
    158,008x = 251,288 × 251,288
  4. Step 4: Simplify right side
    158,008x = 63,145,658,944
  5. Step 5: Solve for x
    x = 63,145,658,944/158,008
  6. Step 6: Final answer
    x = 399,635.83

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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.