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Finding the Third Proportional to 138,219 and 301,449

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Solution

The third proportional to 138,219 and 301,449 is: 657,445.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,219 : 301,449 = 301,449 : x
  2. Step 2: Convert to fraction form
    138,219/301,449 = 301,449/x
  3. Step 3: Cross multiply
    138,219x = 301,449 × 301,449
  4. Step 4: Simplify right side
    138,219x = 90,871,499,601
  5. Step 5: Solve for x
    x = 90,871,499,601/138,219
  6. Step 6: Final answer
    x = 657,445.79

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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.