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Finding the Third Proportional to 223.88 and 342

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Solution

The third proportional to 223.88 and 342 is: 522.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.88 : 342 = 342 : x
  2. Step 2: Convert to fraction form
    223.88/342 = 342/x
  3. Step 3: Cross multiply
    223.88x = 342 × 342
  4. Step 4: Simplify right side
    223.88x = 116,964
  5. Step 5: Solve for x
    x = 116,964/223.88
  6. Step 6: Final answer
    x = 522.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.