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Finding the Third Proportional to 227,224.13 and 352,834.88

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Solution

The third proportional to 227,224.13 and 352,834.88 is: 547,883.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,224.13 : 352,834.88 = 352,834.88 : x
  2. Step 2: Convert to fraction form
    227,224.13/352,834.88 = 352,834.88/x
  3. Step 3: Cross multiply
    227,224.13x = 352,834.88 × 352,834.88
  4. Step 4: Simplify right side
    227,224.13x = 124,492,449,016.27
  5. Step 5: Solve for x
    x = 124,492,449,016.27/227,224.13
  6. Step 6: Final answer
    x = 547,883.94

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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.