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Finding the Third Proportional to 208,168 and 491,247

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Solution

The third proportional to 208,168 and 491,247 is: 1,159,273.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,168 : 491,247 = 491,247 : x
  2. Step 2: Convert to fraction form
    208,168/491,247 = 491,247/x
  3. Step 3: Cross multiply
    208,168x = 491,247 × 491,247
  4. Step 4: Simplify right side
    208,168x = 241,323,615,009
  5. Step 5: Solve for x
    x = 241,323,615,009/208,168
  6. Step 6: Final answer
    x = 1,159,273.35

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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.