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Finding the Third Proportional to 223.88 and 320.06

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Solution

The third proportional to 223.88 and 320.06 is: 457.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.88 : 320.06 = 320.06 : x
  2. Step 2: Convert to fraction form
    223.88/320.06 = 320.06/x
  3. Step 3: Cross multiply
    223.88x = 320.06 × 320.06
  4. Step 4: Simplify right side
    223.88x = 102,440.00
  5. Step 5: Solve for x
    x = 102,440.00/223.88
  6. Step 6: Final answer
    x = 457.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.