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Finding the Third Proportional to 138,182 and 295,324

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Solution

The third proportional to 138,182 and 295,324 is: 631,169.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,182 : 295,324 = 295,324 : x
  2. Step 2: Convert to fraction form
    138,182/295,324 = 295,324/x
  3. Step 3: Cross multiply
    138,182x = 295,324 × 295,324
  4. Step 4: Simplify right side
    138,182x = 87,216,264,976
  5. Step 5: Solve for x
    x = 87,216,264,976/138,182
  6. Step 6: Final answer
    x = 631,169.51

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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.