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Finding the Third Proportional to 164,197.13 and 356,422.78

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Solution

The third proportional to 164,197.13 and 356,422.78 is: 773,687.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,197.13 : 356,422.78 = 356,422.78 : x
  2. Step 2: Convert to fraction form
    164,197.13/356,422.78 = 356,422.78/x
  3. Step 3: Cross multiply
    164,197.13x = 356,422.78 × 356,422.78
  4. Step 4: Simplify right side
    164,197.13x = 127,037,198,993.99
  5. Step 5: Solve for x
    x = 127,037,198,993.99/164,197.13
  6. Step 6: Final answer
    x = 773,687.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.