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Finding the Third Proportional to 101,544 and 223,332

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Solution

The third proportional to 101,544 and 223,332 is: 491,187.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,544 : 223,332 = 223,332 : x
  2. Step 2: Convert to fraction form
    101,544/223,332 = 223,332/x
  3. Step 3: Cross multiply
    101,544x = 223,332 × 223,332
  4. Step 4: Simplify right side
    101,544x = 49,877,182,224
  5. Step 5: Solve for x
    x = 49,877,182,224/101,544
  6. Step 6: Final answer
    x = 491,187.88

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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.