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Finding the Third Proportional to 128,873 and 283,909

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Solution

The third proportional to 128,873 and 283,909 is: 625,455.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,873 : 283,909 = 283,909 : x
  2. Step 2: Convert to fraction form
    128,873/283,909 = 283,909/x
  3. Step 3: Cross multiply
    128,873x = 283,909 × 283,909
  4. Step 4: Simplify right side
    128,873x = 80,604,320,281
  5. Step 5: Solve for x
    x = 80,604,320,281/128,873
  6. Step 6: Final answer
    x = 625,455.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.