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Finding the Third Proportional to 148,981.50 and 325,814.75

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Solution

The third proportional to 148,981.50 and 325,814.75 is: 712,539.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,981.50 : 325,814.75 = 325,814.75 : x
  2. Step 2: Convert to fraction form
    148,981.50/325,814.75 = 325,814.75/x
  3. Step 3: Cross multiply
    148,981.50x = 325,814.75 × 325,814.75
  4. Step 4: Simplify right side
    148,981.50x = 106,155,251,317.56
  5. Step 5: Solve for x
    x = 106,155,251,317.56/148,981.50
  6. Step 6: Final answer
    x = 712,539.82

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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.