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Finding the Third Proportional to 118,768.92 and 256,221.42

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Solution

The third proportional to 118,768.92 and 256,221.42 is: 552,749.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,768.92 : 256,221.42 = 256,221.42 : x
  2. Step 2: Convert to fraction form
    118,768.92/256,221.42 = 256,221.42/x
  3. Step 3: Cross multiply
    118,768.92x = 256,221.42 × 256,221.42
  4. Step 4: Simplify right side
    118,768.92x = 65,649,417,027.65
  5. Step 5: Solve for x
    x = 65,649,417,027.65/118,768.92
  6. Step 6: Final answer
    x = 552,749.12

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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.