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Finding the Third Proportional to 174,762 and 263,591

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Solution

The third proportional to 174,762 and 263,591 is: 397,570.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,762 : 263,591 = 263,591 : x
  2. Step 2: Convert to fraction form
    174,762/263,591 = 263,591/x
  3. Step 3: Cross multiply
    174,762x = 263,591 × 263,591
  4. Step 4: Simplify right side
    174,762x = 69,480,215,281
  5. Step 5: Solve for x
    x = 69,480,215,281/174,762
  6. Step 6: Final answer
    x = 397,570.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.