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Finding the Third Proportional to 107,287 and 228,434

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Solution

The third proportional to 107,287 and 228,434 is: 486,378.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,287 : 228,434 = 228,434 : x
  2. Step 2: Convert to fraction form
    107,287/228,434 = 228,434/x
  3. Step 3: Cross multiply
    107,287x = 228,434 × 228,434
  4. Step 4: Simplify right side
    107,287x = 52,182,092,356
  5. Step 5: Solve for x
    x = 52,182,092,356/107,287
  6. Step 6: Final answer
    x = 486,378.52

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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.