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Finding the Third Proportional to 119,770 and 199,604

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Solution

The third proportional to 119,770 and 199,604 is: 332,652.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,770 : 199,604 = 199,604 : x
  2. Step 2: Convert to fraction form
    119,770/199,604 = 199,604/x
  3. Step 3: Cross multiply
    119,770x = 199,604 × 199,604
  4. Step 4: Simplify right side
    119,770x = 39,841,756,816
  5. Step 5: Solve for x
    x = 39,841,756,816/119,770
  6. Step 6: Final answer
    x = 332,652.22

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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.