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Finding the Third Proportional to 208,154 and 491,213

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Solution

The third proportional to 208,154 and 491,213 is: 1,159,190.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,154 : 491,213 = 491,213 : x
  2. Step 2: Convert to fraction form
    208,154/491,213 = 491,213/x
  3. Step 3: Cross multiply
    208,154x = 491,213 × 491,213
  4. Step 4: Simplify right side
    208,154x = 241,290,211,369
  5. Step 5: Solve for x
    x = 241,290,211,369/208,154
  6. Step 6: Final answer
    x = 1,159,190.85

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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.