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Finding the Third Proportional to 163,493 and 349,162

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Solution

The third proportional to 163,493 and 349,162 is: 745,683.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,493 : 349,162 = 349,162 : x
  2. Step 2: Convert to fraction form
    163,493/349,162 = 349,162/x
  3. Step 3: Cross multiply
    163,493x = 349,162 × 349,162
  4. Step 4: Simplify right side
    163,493x = 121,914,102,244
  5. Step 5: Solve for x
    x = 121,914,102,244/163,493
  6. Step 6: Final answer
    x = 745,683.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.