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Finding the Third Proportional to 171,478 and 254,731

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Solution

The third proportional to 171,478 and 254,731 is: 378,403.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,478 : 254,731 = 254,731 : x
  2. Step 2: Convert to fraction form
    171,478/254,731 = 254,731/x
  3. Step 3: Cross multiply
    171,478x = 254,731 × 254,731
  4. Step 4: Simplify right side
    171,478x = 64,887,882,361
  5. Step 5: Solve for x
    x = 64,887,882,361/171,478
  6. Step 6: Final answer
    x = 378,403.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.