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Finding the Third Proportional to 117.88 and 263.50

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Solution

The third proportional to 117.88 and 263.50 is: 589.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.88 : 263.50 = 263.50 : x
  2. Step 2: Convert to fraction form
    117.88/263.50 = 263.50/x
  3. Step 3: Cross multiply
    117.88x = 263.50 × 263.50
  4. Step 4: Simplify right side
    117.88x = 69,432.25
  5. Step 5: Solve for x
    x = 69,432.25/117.88
  6. Step 6: Final answer
    x = 589.03

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.