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Finding the Third Proportional to 158,001.75 and 223,566.75

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Solution

The third proportional to 158,001.75 and 223,566.75 is: 316,338.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,001.75 : 223,566.75 = 223,566.75 : x
  2. Step 2: Convert to fraction form
    158,001.75/223,566.75 = 223,566.75/x
  3. Step 3: Cross multiply
    158,001.75x = 223,566.75 × 223,566.75
  4. Step 4: Simplify right side
    158,001.75x = 49,982,091,705.56
  5. Step 5: Solve for x
    x = 49,982,091,705.56/158,001.75
  6. Step 6: Final answer
    x = 316,338.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.