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Finding the Third Proportional to 114,724.50 and 246,055.88

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Solution

The third proportional to 114,724.50 and 246,055.88 is: 527,729.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,724.50 : 246,055.88 = 246,055.88 : x
  2. Step 2: Convert to fraction form
    114,724.50/246,055.88 = 246,055.88/x
  3. Step 3: Cross multiply
    114,724.50x = 246,055.88 × 246,055.88
  4. Step 4: Simplify right side
    114,724.50x = 60,543,493,622.02
  5. Step 5: Solve for x
    x = 60,543,493,622.02/114,724.50
  6. Step 6: Final answer
    x = 527,729.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.