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Finding the Third Proportional to 223.13 and 470.63

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Solution

The third proportional to 223.13 and 470.63 is: 992.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.13 : 470.63 = 470.63 : x
  2. Step 2: Convert to fraction form
    223.13/470.63 = 470.63/x
  3. Step 3: Cross multiply
    223.13x = 470.63 × 470.63
  4. Step 4: Simplify right side
    223.13x = 221,487.89
  5. Step 5: Solve for x
    x = 221,487.89/223.13
  6. Step 6: Final answer
    x = 992.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.