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Finding the Third Proportional to 227,815.50 and 243,853.50

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Solution

The third proportional to 227,815.50 and 243,853.50 is: 261,020.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,815.50 : 243,853.50 = 243,853.50 : x
  2. Step 2: Convert to fraction form
    227,815.50/243,853.50 = 243,853.50/x
  3. Step 3: Cross multiply
    227,815.50x = 243,853.50 × 243,853.50
  4. Step 4: Simplify right side
    227,815.50x = 59,464,529,462.25
  5. Step 5: Solve for x
    x = 59,464,529,462.25/227,815.50
  6. Step 6: Final answer
    x = 261,020.56

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.