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Finding the Third Proportional to 138,082 and 295,836

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Solution

The third proportional to 138,082 and 295,836 is: 633,818.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,082 : 295,836 = 295,836 : x
  2. Step 2: Convert to fraction form
    138,082/295,836 = 295,836/x
  3. Step 3: Cross multiply
    138,082x = 295,836 × 295,836
  4. Step 4: Simplify right side
    138,082x = 87,518,938,896
  5. Step 5: Solve for x
    x = 87,518,938,896/138,082
  6. Step 6: Final answer
    x = 633,818.59

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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.