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Finding the Third Proportional to 164,474 and 360,356

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Solution

The third proportional to 164,474 and 360,356 is: 789,525.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,474 : 360,356 = 360,356 : x
  2. Step 2: Convert to fraction form
    164,474/360,356 = 360,356/x
  3. Step 3: Cross multiply
    164,474x = 360,356 × 360,356
  4. Step 4: Simplify right side
    164,474x = 129,856,446,736
  5. Step 5: Solve for x
    x = 129,856,446,736/164,474
  6. Step 6: Final answer
    x = 789,525.68

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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.