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Finding the Third Proportional to 138,260 and 323,760

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Solution

The third proportional to 138,260 and 323,760 is: 758,140.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,260 : 323,760 = 323,760 : x
  2. Step 2: Convert to fraction form
    138,260/323,760 = 323,760/x
  3. Step 3: Cross multiply
    138,260x = 323,760 × 323,760
  4. Step 4: Simplify right side
    138,260x = 104,820,537,600
  5. Step 5: Solve for x
    x = 104,820,537,600/138,260
  6. Step 6: Final answer
    x = 758,140.73

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.