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Finding the Third Proportional to 163,418 and 350,162

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Solution

The third proportional to 163,418 and 350,162 is: 750,305.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,418 : 350,162 = 350,162 : x
  2. Step 2: Convert to fraction form
    163,418/350,162 = 350,162/x
  3. Step 3: Cross multiply
    163,418x = 350,162 × 350,162
  4. Step 4: Simplify right side
    163,418x = 122,613,426,244
  5. Step 5: Solve for x
    x = 122,613,426,244/163,418
  6. Step 6: Final answer
    x = 750,305.51

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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.