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Finding the Third Proportional to 119,790 and 199,656

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Solution

The third proportional to 119,790 and 199,656 is: 332,770.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,790 : 199,656 = 199,656 : x
  2. Step 2: Convert to fraction form
    119,790/199,656 = 199,656/x
  3. Step 3: Cross multiply
    119,790x = 199,656 × 199,656
  4. Step 4: Simplify right side
    119,790x = 39,862,518,336
  5. Step 5: Solve for x
    x = 39,862,518,336/119,790
  6. Step 6: Final answer
    x = 332,770.00

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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.