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Finding the Third Proportional to 114 and 245.63

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Solution

The third proportional to 114 and 245.63 is: 529.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114 : 245.63 = 245.63 : x
  2. Step 2: Convert to fraction form
    114/245.63 = 245.63/x
  3. Step 3: Cross multiply
    114x = 245.63 × 245.63
  4. Step 4: Simplify right side
    114x = 60,331.64
  5. Step 5: Solve for x
    x = 60,331.64/114
  6. Step 6: Final answer
    x = 529.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.