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Finding the Third Proportional to 139,650 and 301,444

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Solution

The third proportional to 139,650 and 301,444 is: 650,687.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,650 : 301,444 = 301,444 : x
  2. Step 2: Convert to fraction form
    139,650/301,444 = 301,444/x
  3. Step 3: Cross multiply
    139,650x = 301,444 × 301,444
  4. Step 4: Simplify right side
    139,650x = 90,868,485,136
  5. Step 5: Solve for x
    x = 90,868,485,136/139,650
  6. Step 6: Final answer
    x = 650,687.33

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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.