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Finding the Third Proportional to 163,676 and 352,381

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Solution

The third proportional to 163,676 and 352,381 is: 758,647.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,676 : 352,381 = 352,381 : x
  2. Step 2: Convert to fraction form
    163,676/352,381 = 352,381/x
  3. Step 3: Cross multiply
    163,676x = 352,381 × 352,381
  4. Step 4: Simplify right side
    163,676x = 124,172,369,161
  5. Step 5: Solve for x
    x = 124,172,369,161/163,676
  6. Step 6: Final answer
    x = 758,647.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.