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Finding the Third Proportional to 152.51 and 359.91

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Solution

The third proportional to 152.51 and 359.91 is: 849.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.51 : 359.91 = 359.91 : x
  2. Step 2: Convert to fraction form
    152.51/359.91 = 359.91/x
  3. Step 3: Cross multiply
    152.51x = 359.91 × 359.91
  4. Step 4: Simplify right side
    152.51x = 129,536.73
  5. Step 5: Solve for x
    x = 129,536.73/152.51
  6. Step 6: Final answer
    x = 849.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.