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Finding the Third Proportional to 114.63 and 209.88

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Solution

The third proportional to 114.63 and 209.88 is: 384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.63 : 209.88 = 209.88 : x
  2. Step 2: Convert to fraction form
    114.63/209.88 = 209.88/x
  3. Step 3: Cross multiply
    114.63x = 209.88 × 209.88
  4. Step 4: Simplify right side
    114.63x = 44,047.52
  5. Step 5: Solve for x
    x = 44,047.52/114.63
  6. Step 6: Final answer
    x = 384.27

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.