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Finding the Third Proportional to 138,471.75 and 301,243.50

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Solution

The third proportional to 138,471.75 and 301,243.50 is: 655,351.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,471.75 : 301,243.50 = 301,243.50 : x
  2. Step 2: Convert to fraction form
    138,471.75/301,243.50 = 301,243.50/x
  3. Step 3: Cross multiply
    138,471.75x = 301,243.50 × 301,243.50
  4. Step 4: Simplify right side
    138,471.75x = 90,747,646,292.25
  5. Step 5: Solve for x
    x = 90,747,646,292.25/138,471.75
  6. Step 6: Final answer
    x = 655,351.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.