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Finding the Third Proportional to 146.57 and 271.51

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Solution

The third proportional to 146.57 and 271.51 is: 502.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.57 : 271.51 = 271.51 : x
  2. Step 2: Convert to fraction form
    146.57/271.51 = 271.51/x
  3. Step 3: Cross multiply
    146.57x = 271.51 × 271.51
  4. Step 4: Simplify right side
    146.57x = 73,715.63
  5. Step 5: Solve for x
    x = 73,715.63/146.57
  6. Step 6: Final answer
    x = 502.95

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.