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Finding the Third Proportional to 208,134 and 491,163

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Solution

The third proportional to 208,134 and 491,163 is: 1,159,066.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,134 : 491,163 = 491,163 : x
  2. Step 2: Convert to fraction form
    208,134/491,163 = 491,163/x
  3. Step 3: Cross multiply
    208,134x = 491,163 × 491,163
  4. Step 4: Simplify right side
    208,134x = 241,241,092,569
  5. Step 5: Solve for x
    x = 241,241,092,569/208,134
  6. Step 6: Final answer
    x = 1,159,066.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.