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Finding the Third Proportional to 173,938 and 261,295

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Solution

The third proportional to 173,938 and 261,295 is: 392,525.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,938 : 261,295 = 261,295 : x
  2. Step 2: Convert to fraction form
    173,938/261,295 = 261,295/x
  3. Step 3: Cross multiply
    173,938x = 261,295 × 261,295
  4. Step 4: Simplify right side
    173,938x = 68,275,077,025
  5. Step 5: Solve for x
    x = 68,275,077,025/173,938
  6. Step 6: Final answer
    x = 392,525.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.