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Finding the Third Proportional to 148,987 and 325,825

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Solution

The third proportional to 148,987 and 325,825 is: 712,558.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,987 : 325,825 = 325,825 : x
  2. Step 2: Convert to fraction form
    148,987/325,825 = 325,825/x
  3. Step 3: Cross multiply
    148,987x = 325,825 × 325,825
  4. Step 4: Simplify right side
    148,987x = 106,161,930,625
  5. Step 5: Solve for x
    x = 106,161,930,625/148,987
  6. Step 6: Final answer
    x = 712,558.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.