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Finding the Third Proportional to 117.94 and 253.31

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Solution

The third proportional to 117.94 and 253.31 is: 544.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.94 : 253.31 = 253.31 : x
  2. Step 2: Convert to fraction form
    117.94/253.31 = 253.31/x
  3. Step 3: Cross multiply
    117.94x = 253.31 × 253.31
  4. Step 4: Simplify right side
    117.94x = 64,167.22
  5. Step 5: Solve for x
    x = 64,167.22/117.94
  6. Step 6: Final answer
    x = 544.08

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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.