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Finding the Third Proportional to 139,641 and 301,422

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Solution

The third proportional to 139,641 and 301,422 is: 650,634.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,641 : 301,422 = 301,422 : x
  2. Step 2: Convert to fraction form
    139,641/301,422 = 301,422/x
  3. Step 3: Cross multiply
    139,641x = 301,422 × 301,422
  4. Step 4: Simplify right side
    139,641x = 90,855,222,084
  5. Step 5: Solve for x
    x = 90,855,222,084/139,641
  6. Step 6: Final answer
    x = 650,634.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.