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Finding the Third Proportional to 148,410 and 330,039

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Solution

The third proportional to 148,410 and 330,039 is: 733,951.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,410 : 330,039 = 330,039 : x
  2. Step 2: Convert to fraction form
    148,410/330,039 = 330,039/x
  3. Step 3: Cross multiply
    148,410x = 330,039 × 330,039
  4. Step 4: Simplify right side
    148,410x = 108,925,741,521
  5. Step 5: Solve for x
    x = 108,925,741,521/148,410
  6. Step 6: Final answer
    x = 733,951.50

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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.