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Finding the Third Proportional to 58.13 and 151.50

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Solution

The third proportional to 58.13 and 151.50 is: 394.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.13 : 151.50 = 151.50 : x
  2. Step 2: Convert to fraction form
    58.13/151.50 = 151.50/x
  3. Step 3: Cross multiply
    58.13x = 151.50 × 151.50
  4. Step 4: Simplify right side
    58.13x = 22,952.25
  5. Step 5: Solve for x
    x = 22,952.25/58.13
  6. Step 6: Final answer
    x = 394.88

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.