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Finding the Third Proportional to 148,416 and 330,050

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Solution

The third proportional to 148,416 and 330,050 is: 733,970.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,416 : 330,050 = 330,050 : x
  2. Step 2: Convert to fraction form
    148,416/330,050 = 330,050/x
  3. Step 3: Cross multiply
    148,416x = 330,050 × 330,050
  4. Step 4: Simplify right side
    148,416x = 108,933,002,500
  5. Step 5: Solve for x
    x = 108,933,002,500/148,416
  6. Step 6: Final answer
    x = 733,970.75

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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.