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Finding the Third Proportional to 208,712.25 and 236,049.75

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Solution

The third proportional to 208,712.25 and 236,049.75 is: 266,967.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,712.25 : 236,049.75 = 236,049.75 : x
  2. Step 2: Convert to fraction form
    208,712.25/236,049.75 = 236,049.75/x
  3. Step 3: Cross multiply
    208,712.25x = 236,049.75 × 236,049.75
  4. Step 4: Simplify right side
    208,712.25x = 55,719,484,475.06
  5. Step 5: Solve for x
    x = 55,719,484,475.06/208,712.25
  6. Step 6: Final answer
    x = 266,967.96

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.