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Finding the Third Proportional to 114.22 and 253.76

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Solution

The third proportional to 114.22 and 253.76 is: 563.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.22 : 253.76 = 253.76 : x
  2. Step 2: Convert to fraction form
    114.22/253.76 = 253.76/x
  3. Step 3: Cross multiply
    114.22x = 253.76 × 253.76
  4. Step 4: Simplify right side
    114.22x = 64,393.03
  5. Step 5: Solve for x
    x = 64,393.03/114.22
  6. Step 6: Final answer
    x = 563.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.