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Finding the Third Proportional to 154.80 and 316.72

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Solution

The third proportional to 154.80 and 316.72 is: 648.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.80 : 316.72 = 316.72 : x
  2. Step 2: Convert to fraction form
    154.80/316.72 = 316.72/x
  3. Step 3: Cross multiply
    154.80x = 316.72 × 316.72
  4. Step 4: Simplify right side
    154.80x = 100,313.24
  5. Step 5: Solve for x
    x = 100,313.24/154.80
  6. Step 6: Final answer
    x = 648.01

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.