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Finding the Third Proportional to 148,873.50 and 324,515

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Solution

The third proportional to 148,873.50 and 324,515 is: 707,378.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,873.50 : 324,515 = 324,515 : x
  2. Step 2: Convert to fraction form
    148,873.50/324,515 = 324,515/x
  3. Step 3: Cross multiply
    148,873.50x = 324,515 × 324,515
  4. Step 4: Simplify right side
    148,873.50x = 105,309,985,225
  5. Step 5: Solve for x
    x = 105,309,985,225/148,873.50
  6. Step 6: Final answer
    x = 707,378.98

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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.