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Finding the Third Proportional to 210,198.80 and 326,364.19

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Solution

The third proportional to 210,198.80 and 326,364.19 is: 506,727.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,198.80 : 326,364.19 = 326,364.19 : x
  2. Step 2: Convert to fraction form
    210,198.80/326,364.19 = 326,364.19/x
  3. Step 3: Cross multiply
    210,198.80x = 326,364.19 × 326,364.19
  4. Step 4: Simplify right side
    210,198.80x = 106,513,582,882.54
  5. Step 5: Solve for x
    x = 106,513,582,882.54/210,198.80
  6. Step 6: Final answer
    x = 506,727.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.