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Finding the Third Proportional to 119,746 and 199,568

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Solution

The third proportional to 119,746 and 199,568 is: 332,598.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,746 : 199,568 = 199,568 : x
  2. Step 2: Convert to fraction form
    119,746/199,568 = 199,568/x
  3. Step 3: Cross multiply
    119,746x = 199,568 × 199,568
  4. Step 4: Simplify right side
    119,746x = 39,827,386,624
  5. Step 5: Solve for x
    x = 39,827,386,624/119,746
  6. Step 6: Final answer
    x = 332,598.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.