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Finding the Third Proportional to 206,482.25 and 424,081.13

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Solution

The third proportional to 206,482.25 and 424,081.13 is: 870,994.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,482.25 : 424,081.13 = 424,081.13 : x
  2. Step 2: Convert to fraction form
    206,482.25/424,081.13 = 424,081.13/x
  3. Step 3: Cross multiply
    206,482.25x = 424,081.13 × 424,081.13
  4. Step 4: Simplify right side
    206,482.25x = 179,844,800,581.27
  5. Step 5: Solve for x
    x = 179,844,800,581.27/206,482.25
  6. Step 6: Final answer
    x = 870,994.00

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.