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Finding the Third Proportional to 120,147.47 and 255,824.16

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Solution

The third proportional to 120,147.47 and 255,824.16 is: 544,713.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,147.47 : 255,824.16 = 255,824.16 : x
  2. Step 2: Convert to fraction form
    120,147.47/255,824.16 = 255,824.16/x
  3. Step 3: Cross multiply
    120,147.47x = 255,824.16 × 255,824.16
  4. Step 4: Simplify right side
    120,147.47x = 65,445,998,921.02
  5. Step 5: Solve for x
    x = 65,445,998,921.02/120,147.47
  6. Step 6: Final answer
    x = 544,713.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.