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Finding the Third Proportional to 138,024 and 295,731

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Solution

The third proportional to 138,024 and 295,731 is: 633,634.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,024 : 295,731 = 295,731 : x
  2. Step 2: Convert to fraction form
    138,024/295,731 = 295,731/x
  3. Step 3: Cross multiply
    138,024x = 295,731 × 295,731
  4. Step 4: Simplify right side
    138,024x = 87,456,824,361
  5. Step 5: Solve for x
    x = 87,456,824,361/138,024
  6. Step 6: Final answer
    x = 633,634.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.