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Finding the Third Proportional to 164,177 and 359,493

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Solution

The third proportional to 164,177 and 359,493 is: 787,170.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,177 : 359,493 = 359,493 : x
  2. Step 2: Convert to fraction form
    164,177/359,493 = 359,493/x
  3. Step 3: Cross multiply
    164,177x = 359,493 × 359,493
  4. Step 4: Simplify right side
    164,177x = 129,235,217,049
  5. Step 5: Solve for x
    x = 129,235,217,049/164,177
  6. Step 6: Final answer
    x = 787,170.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.