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Finding the Third Proportional to 139,366 and 301,092

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Solution

The third proportional to 139,366 and 301,092 is: 650,491.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,366 : 301,092 = 301,092 : x
  2. Step 2: Convert to fraction form
    139,366/301,092 = 301,092/x
  3. Step 3: Cross multiply
    139,366x = 301,092 × 301,092
  4. Step 4: Simplify right side
    139,366x = 90,656,392,464
  5. Step 5: Solve for x
    x = 90,656,392,464/139,366
  6. Step 6: Final answer
    x = 650,491.46

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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.