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Finding the Third Proportional to 153.30 and 219.27

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Solution

The third proportional to 153.30 and 219.27 is: 313.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.30 : 219.27 = 219.27 : x
  2. Step 2: Convert to fraction form
    153.30/219.27 = 219.27/x
  3. Step 3: Cross multiply
    153.30x = 219.27 × 219.27
  4. Step 4: Simplify right side
    153.30x = 48,079.13
  5. Step 5: Solve for x
    x = 48,079.13/153.30
  6. Step 6: Final answer
    x = 313.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.