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Finding the Third Proportional to 210.96 and 315.62

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Solution

The third proportional to 210.96 and 315.62 is: 472.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.96 : 315.62 = 315.62 : x
  2. Step 2: Convert to fraction form
    210.96/315.62 = 315.62/x
  3. Step 3: Cross multiply
    210.96x = 315.62 × 315.62
  4. Step 4: Simplify right side
    210.96x = 99,612.98
  5. Step 5: Solve for x
    x = 99,612.98/210.96
  6. Step 6: Final answer
    x = 472.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.