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Finding the Third Proportional to 147,660 and 346,662

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Solution

The third proportional to 147,660 and 346,662 is: 813,859.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,660 : 346,662 = 346,662 : x
  2. Step 2: Convert to fraction form
    147,660/346,662 = 346,662/x
  3. Step 3: Cross multiply
    147,660x = 346,662 × 346,662
  4. Step 4: Simplify right side
    147,660x = 120,174,542,244
  5. Step 5: Solve for x
    x = 120,174,542,244/147,660
  6. Step 6: Final answer
    x = 813,859.83

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.