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Finding the Third Proportional to 148,360.50 and 329,890.50

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Solution

The third proportional to 148,360.50 and 329,890.50 is: 733,535.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,360.50 : 329,890.50 = 329,890.50 : x
  2. Step 2: Convert to fraction form
    148,360.50/329,890.50 = 329,890.50/x
  3. Step 3: Cross multiply
    148,360.50x = 329,890.50 × 329,890.50
  4. Step 4: Simplify right side
    148,360.50x = 108,827,741,990.25
  5. Step 5: Solve for x
    x = 108,827,741,990.25/148,360.50
  6. Step 6: Final answer
    x = 733,535.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.