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Finding the Third Proportional to 152.93 and 330.43

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Solution

The third proportional to 152.93 and 330.43 is: 713.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.93 : 330.43 = 330.43 : x
  2. Step 2: Convert to fraction form
    152.93/330.43 = 330.43/x
  3. Step 3: Cross multiply
    152.93x = 330.43 × 330.43
  4. Step 4: Simplify right side
    152.93x = 109,186.36
  5. Step 5: Solve for x
    x = 109,186.36/152.93
  6. Step 6: Final answer
    x = 713.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.