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Finding the Third Proportional to 227,733.75 and 328,066.88

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Solution

The third proportional to 227,733.75 and 328,066.88 is: 472,603.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,733.75 : 328,066.88 = 328,066.88 : x
  2. Step 2: Convert to fraction form
    227,733.75/328,066.88 = 328,066.88/x
  3. Step 3: Cross multiply
    227,733.75x = 328,066.88 × 328,066.88
  4. Step 4: Simplify right side
    227,733.75x = 107,627,874,472.27
  5. Step 5: Solve for x
    x = 107,627,874,472.27/227,733.75
  6. Step 6: Final answer
    x = 472,603.97

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.