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Finding the Third Proportional to 163,676 and 353,173

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Solution

The third proportional to 163,676 and 353,173 is: 762,061.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,676 : 353,173 = 353,173 : x
  2. Step 2: Convert to fraction form
    163,676/353,173 = 353,173/x
  3. Step 3: Cross multiply
    163,676x = 353,173 × 353,173
  4. Step 4: Simplify right side
    163,676x = 124,731,167,929
  5. Step 5: Solve for x
    x = 124,731,167,929/163,676
  6. Step 6: Final answer
    x = 762,061.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.