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Finding the Third Proportional to 227,083.50 and 336,228.47

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Solution

The third proportional to 227,083.50 and 336,228.47 is: 497,832.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,083.50 : 336,228.47 = 336,228.47 : x
  2. Step 2: Convert to fraction form
    227,083.50/336,228.47 = 336,228.47/x
  3. Step 3: Cross multiply
    227,083.50x = 336,228.47 × 336,228.47
  4. Step 4: Simplify right side
    227,083.50x = 113,049,583,197.97
  5. Step 5: Solve for x
    x = 113,049,583,197.97/227,083.50
  6. Step 6: Final answer
    x = 497,832.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.