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Finding the Third Proportional to 201,049 and 442,078

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Solution

The third proportional to 201,049 and 442,078 is: 972,066.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,049 : 442,078 = 442,078 : x
  2. Step 2: Convert to fraction form
    201,049/442,078 = 442,078/x
  3. Step 3: Cross multiply
    201,049x = 442,078 × 442,078
  4. Step 4: Simplify right side
    201,049x = 195,432,958,084
  5. Step 5: Solve for x
    x = 195,432,958,084/201,049
  6. Step 6: Final answer
    x = 972,066.30

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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.