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Finding the Third Proportional to 114,789.50 and 268,052

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Solution

The third proportional to 114,789.50 and 268,052 is: 625,944.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,789.50 : 268,052 = 268,052 : x
  2. Step 2: Convert to fraction form
    114,789.50/268,052 = 268,052/x
  3. Step 3: Cross multiply
    114,789.50x = 268,052 × 268,052
  4. Step 4: Simplify right side
    114,789.50x = 71,851,874,704
  5. Step 5: Solve for x
    x = 71,851,874,704/114,789.50
  6. Step 6: Final answer
    x = 625,944.66

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.