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Finding the Third Proportional to 174,552 and 375,825

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Solution

The third proportional to 174,552 and 375,825 is: 809,182.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,552 : 375,825 = 375,825 : x
  2. Step 2: Convert to fraction form
    174,552/375,825 = 375,825/x
  3. Step 3: Cross multiply
    174,552x = 375,825 × 375,825
  4. Step 4: Simplify right side
    174,552x = 141,244,430,625
  5. Step 5: Solve for x
    x = 141,244,430,625/174,552
  6. Step 6: Final answer
    x = 809,182.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.