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Finding the Third Proportional to 335.32 and 501.05

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Solution

The third proportional to 335.32 and 501.05 is: 748.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.32 : 501.05 = 501.05 : x
  2. Step 2: Convert to fraction form
    335.32/501.05 = 501.05/x
  3. Step 3: Cross multiply
    335.32x = 501.05 × 501.05
  4. Step 4: Simplify right side
    335.32x = 251,047.97
  5. Step 5: Solve for x
    x = 251,047.97/335.32
  6. Step 6: Final answer
    x = 748.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.