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Finding the Third Proportional to 119,742 and 199,562

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Solution

The third proportional to 119,742 and 199,562 is: 332,590.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,742 : 199,562 = 199,562 : x
  2. Step 2: Convert to fraction form
    119,742/199,562 = 199,562/x
  3. Step 3: Cross multiply
    119,742x = 199,562 × 199,562
  4. Step 4: Simplify right side
    119,742x = 39,824,991,844
  5. Step 5: Solve for x
    x = 39,824,991,844/119,742
  6. Step 6: Final answer
    x = 332,590.00

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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.