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Finding the Third Proportional to 71.63 and 154.31

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Solution

The third proportional to 71.63 and 154.31 is: 332.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.63 : 154.31 = 154.31 : x
  2. Step 2: Convert to fraction form
    71.63/154.31 = 154.31/x
  3. Step 3: Cross multiply
    71.63x = 154.31 × 154.31
  4. Step 4: Simplify right side
    71.63x = 23,812.35
  5. Step 5: Solve for x
    x = 23,812.35/71.63
  6. Step 6: Final answer
    x = 332.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.