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Finding the Third Proportional to 98.95 and 153.60

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Solution

The third proportional to 98.95 and 153.60 is: 238.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.95 : 153.60 = 153.60 : x
  2. Step 2: Convert to fraction form
    98.95/153.60 = 153.60/x
  3. Step 3: Cross multiply
    98.95x = 153.60 × 153.60
  4. Step 4: Simplify right side
    98.95x = 23,592.24
  5. Step 5: Solve for x
    x = 23,592.24/98.95
  6. Step 6: Final answer
    x = 238.42

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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.