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Finding the Third Proportional to 208,132 and 491,158

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Solution

The third proportional to 208,132 and 491,158 is: 1,159,053.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,132 : 491,158 = 491,158 : x
  2. Step 2: Convert to fraction form
    208,132/491,158 = 491,158/x
  3. Step 3: Cross multiply
    208,132x = 491,158 × 491,158
  4. Step 4: Simplify right side
    208,132x = 241,236,180,964
  5. Step 5: Solve for x
    x = 241,236,180,964/208,132
  6. Step 6: Final answer
    x = 1,159,053.78

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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.