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Finding the Third Proportional to 148,583.25 and 324,247.50

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Solution

The third proportional to 148,583.25 and 324,247.50 is: 707,592.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,583.25 : 324,247.50 = 324,247.50 : x
  2. Step 2: Convert to fraction form
    148,583.25/324,247.50 = 324,247.50/x
  3. Step 3: Cross multiply
    148,583.25x = 324,247.50 × 324,247.50
  4. Step 4: Simplify right side
    148,583.25x = 105,136,441,256.25
  5. Step 5: Solve for x
    x = 105,136,441,256.25/148,583.25
  6. Step 6: Final answer
    x = 707,592.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.