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Finding the Third Proportional to 152.97 and 233.03

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Solution

The third proportional to 152.97 and 233.03 is: 355.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.97 : 233.03 = 233.03 : x
  2. Step 2: Convert to fraction form
    152.97/233.03 = 233.03/x
  3. Step 3: Cross multiply
    152.97x = 233.03 × 233.03
  4. Step 4: Simplify right side
    152.97x = 54,303.56
  5. Step 5: Solve for x
    x = 54,303.56/152.97
  6. Step 6: Final answer
    x = 355.00

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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.