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Finding the Third Proportional to 161,829 and 352,026

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Solution

The third proportional to 161,829 and 352,026 is: 765,760.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,829 : 352,026 = 352,026 : x
  2. Step 2: Convert to fraction form
    161,829/352,026 = 352,026/x
  3. Step 3: Cross multiply
    161,829x = 352,026 × 352,026
  4. Step 4: Simplify right side
    161,829x = 123,922,304,676
  5. Step 5: Solve for x
    x = 123,922,304,676/161,829
  6. Step 6: Final answer
    x = 765,760.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.