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Finding the Third Proportional to 201,701 and 442,761

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Solution

The third proportional to 201,701 and 442,761 is: 971,920.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,701 : 442,761 = 442,761 : x
  2. Step 2: Convert to fraction form
    201,701/442,761 = 442,761/x
  3. Step 3: Cross multiply
    201,701x = 442,761 × 442,761
  4. Step 4: Simplify right side
    201,701x = 196,037,303,121
  5. Step 5: Solve for x
    x = 196,037,303,121/201,701
  6. Step 6: Final answer
    x = 971,920.33

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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.