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Finding the Third Proportional to 158,764.50 and 342,456.75

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Solution

The third proportional to 158,764.50 and 342,456.75 is: 738,682.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,764.50 : 342,456.75 = 342,456.75 : x
  2. Step 2: Convert to fraction form
    158,764.50/342,456.75 = 342,456.75/x
  3. Step 3: Cross multiply
    158,764.50x = 342,456.75 × 342,456.75
  4. Step 4: Simplify right side
    158,764.50x = 117,276,625,620.56
  5. Step 5: Solve for x
    x = 117,276,625,620.56/158,764.50
  6. Step 6: Final answer
    x = 738,682.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.