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Finding the Third Proportional to 147,972 and 326,105

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Solution

The third proportional to 147,972 and 326,105 is: 718,679.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,972 : 326,105 = 326,105 : x
  2. Step 2: Convert to fraction form
    147,972/326,105 = 326,105/x
  3. Step 3: Cross multiply
    147,972x = 326,105 × 326,105
  4. Step 4: Simplify right side
    147,972x = 106,344,471,025
  5. Step 5: Solve for x
    x = 106,344,471,025/147,972
  6. Step 6: Final answer
    x = 718,679.69

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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.