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Finding the Third Proportional to 210.94 and 458.53

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Solution

The third proportional to 210.94 and 458.53 is: 996.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.94 : 458.53 = 458.53 : x
  2. Step 2: Convert to fraction form
    210.94/458.53 = 458.53/x
  3. Step 3: Cross multiply
    210.94x = 458.53 × 458.53
  4. Step 4: Simplify right side
    210.94x = 210,250.91
  5. Step 5: Solve for x
    x = 210,250.91/210.94
  6. Step 6: Final answer
    x = 996.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.