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Finding the Third Proportional to 118,778.06 and 256,122

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Solution

The third proportional to 118,778.06 and 256,122 is: 552,277.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,778.06 : 256,122 = 256,122 : x
  2. Step 2: Convert to fraction form
    118,778.06/256,122 = 256,122/x
  3. Step 3: Cross multiply
    118,778.06x = 256,122 × 256,122
  4. Step 4: Simplify right side
    118,778.06x = 65,598,478,884
  5. Step 5: Solve for x
    x = 65,598,478,884/118,778.06
  6. Step 6: Final answer
    x = 552,277.73

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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.