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Finding the Third Proportional to 114,286.50 and 246,501

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Solution

The third proportional to 114,286.50 and 246,501 is: 531,670.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,286.50 : 246,501 = 246,501 : x
  2. Step 2: Convert to fraction form
    114,286.50/246,501 = 246,501/x
  3. Step 3: Cross multiply
    114,286.50x = 246,501 × 246,501
  4. Step 4: Simplify right side
    114,286.50x = 60,762,743,001
  5. Step 5: Solve for x
    x = 60,762,743,001/114,286.50
  6. Step 6: Final answer
    x = 531,670.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.