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Finding the Third Proportional to 148,756 and 326,900

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Solution

The third proportional to 148,756 and 326,900 is: 718,381.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,756 : 326,900 = 326,900 : x
  2. Step 2: Convert to fraction form
    148,756/326,900 = 326,900/x
  3. Step 3: Cross multiply
    148,756x = 326,900 × 326,900
  4. Step 4: Simplify right side
    148,756x = 106,863,610,000
  5. Step 5: Solve for x
    x = 106,863,610,000/148,756
  6. Step 6: Final answer
    x = 718,381.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.