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Finding the Third Proportional to 139,404 and 301,080

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Solution

The third proportional to 139,404 and 301,080 is: 650,262.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,404 : 301,080 = 301,080 : x
  2. Step 2: Convert to fraction form
    139,404/301,080 = 301,080/x
  3. Step 3: Cross multiply
    139,404x = 301,080 × 301,080
  4. Step 4: Simplify right side
    139,404x = 90,649,166,400
  5. Step 5: Solve for x
    x = 90,649,166,400/139,404
  6. Step 6: Final answer
    x = 650,262.31

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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.