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Finding the Third Proportional to 212.63 and 337.92

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Solution

The third proportional to 212.63 and 337.92 is: 537.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.63 : 337.92 = 337.92 : x
  2. Step 2: Convert to fraction form
    212.63/337.92 = 337.92/x
  3. Step 3: Cross multiply
    212.63x = 337.92 × 337.92
  4. Step 4: Simplify right side
    212.63x = 114,191.19
  5. Step 5: Solve for x
    x = 114,191.19/212.63
  6. Step 6: Final answer
    x = 537.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.