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Finding the Third Proportional to 158,134.50 and 251,278.88

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Solution

The third proportional to 158,134.50 and 251,278.88 is: 399,287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,134.50 : 251,278.88 = 251,278.88 : x
  2. Step 2: Convert to fraction form
    158,134.50/251,278.88 = 251,278.88/x
  3. Step 3: Cross multiply
    158,134.50x = 251,278.88 × 251,278.88
  4. Step 4: Simplify right side
    158,134.50x = 63,141,073,021.27
  5. Step 5: Solve for x
    x = 63,141,073,021.27/158,134.50
  6. Step 6: Final answer
    x = 399,287.14

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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.