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Finding the Third Proportional to 224.02 and 346.15

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Solution

The third proportional to 224.02 and 346.15 is: 534.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.02 : 346.15 = 346.15 : x
  2. Step 2: Convert to fraction form
    224.02/346.15 = 346.15/x
  3. Step 3: Cross multiply
    224.02x = 346.15 × 346.15
  4. Step 4: Simplify right side
    224.02x = 119,818.74
  5. Step 5: Solve for x
    x = 119,818.74/224.02
  6. Step 6: Final answer
    x = 534.87

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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.