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Finding the Third Proportional to 153.63 and 234.07

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Solution

The third proportional to 153.63 and 234.07 is: 356.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.63 : 234.07 = 234.07 : x
  2. Step 2: Convert to fraction form
    153.63/234.07 = 234.07/x
  3. Step 3: Cross multiply
    153.63x = 234.07 × 234.07
  4. Step 4: Simplify right side
    153.63x = 54,788.91
  5. Step 5: Solve for x
    x = 54,788.91/153.63
  6. Step 6: Final answer
    x = 356.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.