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Finding the Third Proportional to 134.50 and 294.69

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Solution

The third proportional to 134.50 and 294.69 is: 645.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.50 : 294.69 = 294.69 : x
  2. Step 2: Convert to fraction form
    134.50/294.69 = 294.69/x
  3. Step 3: Cross multiply
    134.50x = 294.69 × 294.69
  4. Step 4: Simplify right side
    134.50x = 86,840.72
  5. Step 5: Solve for x
    x = 86,840.72/134.50
  6. Step 6: Final answer
    x = 645.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.