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Finding the Third Proportional to 100.34 and 155.32

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Solution

The third proportional to 100.34 and 155.32 is: 240.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.34 : 155.32 = 155.32 : x
  2. Step 2: Convert to fraction form
    100.34/155.32 = 155.32/x
  3. Step 3: Cross multiply
    100.34x = 155.32 × 155.32
  4. Step 4: Simplify right side
    100.34x = 24,124.40
  5. Step 5: Solve for x
    x = 24,124.40/100.34
  6. Step 6: Final answer
    x = 240.44

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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.