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Finding the Third Proportional to 175,259 and 262,591

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Solution

The third proportional to 175,259 and 262,591 is: 393,440.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,259 : 262,591 = 262,591 : x
  2. Step 2: Convert to fraction form
    175,259/262,591 = 262,591/x
  3. Step 3: Cross multiply
    175,259x = 262,591 × 262,591
  4. Step 4: Simplify right side
    175,259x = 68,954,033,281
  5. Step 5: Solve for x
    x = 68,954,033,281/175,259
  6. Step 6: Final answer
    x = 393,440.76

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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.