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Finding the Third Proportional to 201,086 and 442,020

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Solution

The third proportional to 201,086 and 442,020 is: 971,632.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,086 : 442,020 = 442,020 : x
  2. Step 2: Convert to fraction form
    201,086/442,020 = 442,020/x
  3. Step 3: Cross multiply
    201,086x = 442,020 × 442,020
  4. Step 4: Simplify right side
    201,086x = 195,381,680,400
  5. Step 5: Solve for x
    x = 195,381,680,400/201,086
  6. Step 6: Final answer
    x = 971,632.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.