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Finding the Third Proportional to 58.50 and 151.69

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Solution

The third proportional to 58.50 and 151.69 is: 393.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.50 : 151.69 = 151.69 : x
  2. Step 2: Convert to fraction form
    58.50/151.69 = 151.69/x
  3. Step 3: Cross multiply
    58.50x = 151.69 × 151.69
  4. Step 4: Simplify right side
    58.50x = 23,009.10
  5. Step 5: Solve for x
    x = 23,009.10/58.50
  6. Step 6: Final answer
    x = 393.32

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These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.