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Finding the Third Proportional to 227,115 and 352,662.75

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Solution

The third proportional to 227,115 and 352,662.75 is: 547,612.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,115 : 352,662.75 = 352,662.75 : x
  2. Step 2: Convert to fraction form
    227,115/352,662.75 = 352,662.75/x
  3. Step 3: Cross multiply
    227,115x = 352,662.75 × 352,662.75
  4. Step 4: Simplify right side
    227,115x = 124,371,015,237.56
  5. Step 5: Solve for x
    x = 124,371,015,237.56/227,115
  6. Step 6: Final answer
    x = 547,612.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.