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Finding the Third Proportional to 151.88 and 237.30

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Solution

The third proportional to 151.88 and 237.30 is: 370.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.88 : 237.30 = 237.30 : x
  2. Step 2: Convert to fraction form
    151.88/237.30 = 237.30/x
  3. Step 3: Cross multiply
    151.88x = 237.30 × 237.30
  4. Step 4: Simplify right side
    151.88x = 56,313.51
  5. Step 5: Solve for x
    x = 56,313.51/151.88
  6. Step 6: Final answer
    x = 370.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.