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Finding the Third Proportional to 335.03 and 505.02

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Solution

The third proportional to 335.03 and 505.02 is: 761.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.03 : 505.02 = 505.02 : x
  2. Step 2: Convert to fraction form
    335.03/505.02 = 505.02/x
  3. Step 3: Cross multiply
    335.03x = 505.02 × 505.02
  4. Step 4: Simplify right side
    335.03x = 255,049.17
  5. Step 5: Solve for x
    x = 255,049.17/335.03
  6. Step 6: Final answer
    x = 761.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.