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Finding the Third Proportional to 174,776 and 263,596

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Solution

The third proportional to 174,776 and 263,596 is: 397,553.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,776 : 263,596 = 263,596 : x
  2. Step 2: Convert to fraction form
    174,776/263,596 = 263,596/x
  3. Step 3: Cross multiply
    174,776x = 263,596 × 263,596
  4. Step 4: Simplify right side
    174,776x = 69,482,851,216
  5. Step 5: Solve for x
    x = 69,482,851,216/174,776
  6. Step 6: Final answer
    x = 397,553.73

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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.