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Finding the Third Proportional to 200,187.70 and 416,984.20

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Solution

The third proportional to 200,187.70 and 416,984.20 is: 868,563.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,187.70 : 416,984.20 = 416,984.20 : x
  2. Step 2: Convert to fraction form
    200,187.70/416,984.20 = 416,984.20/x
  3. Step 3: Cross multiply
    200,187.70x = 416,984.20 × 416,984.20
  4. Step 4: Simplify right side
    200,187.70x = 173,875,825,655.79
  5. Step 5: Solve for x
    x = 173,875,825,655.79/200,187.70
  6. Step 6: Final answer
    x = 868,563.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.