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Finding the Third Proportional to 118,484.25 and 283,301.25

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Solution

The third proportional to 118,484.25 and 283,301.25 is: 677,386.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,484.25 : 283,301.25 = 283,301.25 : x
  2. Step 2: Convert to fraction form
    118,484.25/283,301.25 = 283,301.25/x
  3. Step 3: Cross multiply
    118,484.25x = 283,301.25 × 283,301.25
  4. Step 4: Simplify right side
    118,484.25x = 80,259,598,251.56
  5. Step 5: Solve for x
    x = 80,259,598,251.56/118,484.25
  6. Step 6: Final answer
    x = 677,386.22

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.