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Finding the Third Proportional to 212.63 and 459.42

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Solution

The third proportional to 212.63 and 459.42 is: 992.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.63 : 459.42 = 459.42 : x
  2. Step 2: Convert to fraction form
    212.63/459.42 = 459.42/x
  3. Step 3: Cross multiply
    212.63x = 459.42 × 459.42
  4. Step 4: Simplify right side
    212.63x = 211,068.46
  5. Step 5: Solve for x
    x = 211,068.46/212.63
  6. Step 6: Final answer
    x = 992.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.