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Finding the Third Proportional to 119,274 and 252,768

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Solution

The third proportional to 119,274 and 252,768 is: 535,671.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,274 : 252,768 = 252,768 : x
  2. Step 2: Convert to fraction form
    119,274/252,768 = 252,768/x
  3. Step 3: Cross multiply
    119,274x = 252,768 × 252,768
  4. Step 4: Simplify right side
    119,274x = 63,891,661,824
  5. Step 5: Solve for x
    x = 63,891,661,824/119,274
  6. Step 6: Final answer
    x = 535,671.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.