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Finding the Third Proportional to 129.88 and 292.94

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Solution

The third proportional to 129.88 and 292.94 is: 660.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.88 : 292.94 = 292.94 : x
  2. Step 2: Convert to fraction form
    129.88/292.94 = 292.94/x
  3. Step 3: Cross multiply
    129.88x = 292.94 × 292.94
  4. Step 4: Simplify right side
    129.88x = 85,812.38
  5. Step 5: Solve for x
    x = 85,812.38/129.88
  6. Step 6: Final answer
    x = 660.73

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.