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Finding the Third Proportional to 100.46 and 155.51

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Solution

The third proportional to 100.46 and 155.51 is: 240.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.46 : 155.51 = 155.51 : x
  2. Step 2: Convert to fraction form
    100.46/155.51 = 155.51/x
  3. Step 3: Cross multiply
    100.46x = 155.51 × 155.51
  4. Step 4: Simplify right side
    100.46x = 24,184.50
  5. Step 5: Solve for x
    x = 24,184.50/100.46
  6. Step 6: Final answer
    x = 240.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.