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Finding the Third Proportional to 119,226 and 252,666

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Solution

The third proportional to 119,226 and 252,666 is: 535,454.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,226 : 252,666 = 252,666 : x
  2. Step 2: Convert to fraction form
    119,226/252,666 = 252,666/x
  3. Step 3: Cross multiply
    119,226x = 252,666 × 252,666
  4. Step 4: Simplify right side
    119,226x = 63,840,107,556
  5. Step 5: Solve for x
    x = 63,840,107,556/119,226
  6. Step 6: Final answer
    x = 535,454.58

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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.