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Finding the Third Proportional to 227,532 and 313,648

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Solution

The third proportional to 227,532 and 313,648 is: 432,357.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,532 : 313,648 = 313,648 : x
  2. Step 2: Convert to fraction form
    227,532/313,648 = 313,648/x
  3. Step 3: Cross multiply
    227,532x = 313,648 × 313,648
  4. Step 4: Simplify right side
    227,532x = 98,375,067,904
  5. Step 5: Solve for x
    x = 98,375,067,904/227,532
  6. Step 6: Final answer
    x = 432,357.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.