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Finding the Third Proportional to 208,164 and 491,236.50

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Solution

The third proportional to 208,164 and 491,236.50 is: 1,159,246.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,164 : 491,236.50 = 491,236.50 : x
  2. Step 2: Convert to fraction form
    208,164/491,236.50 = 491,236.50/x
  3. Step 3: Cross multiply
    208,164x = 491,236.50 × 491,236.50
  4. Step 4: Simplify right side
    208,164x = 241,313,298,932.25
  5. Step 5: Solve for x
    x = 241,313,298,932.25/208,164
  6. Step 6: Final answer
    x = 1,159,246.07

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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.