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Finding the Third Proportional to 134.44 and 260.06

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Solution

The third proportional to 134.44 and 260.06 is: 503.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.44 : 260.06 = 260.06 : x
  2. Step 2: Convert to fraction form
    134.44/260.06 = 260.06/x
  3. Step 3: Cross multiply
    134.44x = 260.06 × 260.06
  4. Step 4: Simplify right side
    134.44x = 67,632.50
  5. Step 5: Solve for x
    x = 67,632.50/134.44
  6. Step 6: Final answer
    x = 503.08

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.