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Finding the Third Proportional to 151.90 and 333.23

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Solution

The third proportional to 151.90 and 333.23 is: 730.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.90 : 333.23 = 333.23 : x
  2. Step 2: Convert to fraction form
    151.90/333.23 = 333.23/x
  3. Step 3: Cross multiply
    151.90x = 333.23 × 333.23
  4. Step 4: Simplify right side
    151.90x = 111,041.24
  5. Step 5: Solve for x
    x = 111,041.24/151.90
  6. Step 6: Final answer
    x = 730.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.