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Finding the Third Proportional to 148,231.50 and 324,142.50

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Solution

The third proportional to 148,231.50 and 324,142.50 is: 708,812.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,231.50 : 324,142.50 = 324,142.50 : x
  2. Step 2: Convert to fraction form
    148,231.50/324,142.50 = 324,142.50/x
  3. Step 3: Cross multiply
    148,231.50x = 324,142.50 × 324,142.50
  4. Step 4: Simplify right side
    148,231.50x = 105,068,360,306.25
  5. Step 5: Solve for x
    x = 105,068,360,306.25/148,231.50
  6. Step 6: Final answer
    x = 708,812.64

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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.