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Finding the Third Proportional to 202.08 and 294.89

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Solution

The third proportional to 202.08 and 294.89 is: 430.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.08 : 294.89 = 294.89 : x
  2. Step 2: Convert to fraction form
    202.08/294.89 = 294.89/x
  3. Step 3: Cross multiply
    202.08x = 294.89 × 294.89
  4. Step 4: Simplify right side
    202.08x = 86,960.48
  5. Step 5: Solve for x
    x = 86,960.48/202.08
  6. Step 6: Final answer
    x = 430.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.