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Finding the Third Proportional to 138,165 and 305,373

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Solution

The third proportional to 138,165 and 305,373 is: 674,936.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,165 : 305,373 = 305,373 : x
  2. Step 2: Convert to fraction form
    138,165/305,373 = 305,373/x
  3. Step 3: Cross multiply
    138,165x = 305,373 × 305,373
  4. Step 4: Simplify right side
    138,165x = 93,252,669,129
  5. Step 5: Solve for x
    x = 93,252,669,129/138,165
  6. Step 6: Final answer
    x = 674,936.99

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.