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Finding the Third Proportional to 202.92 and 322.52

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Solution

The third proportional to 202.92 and 322.52 is: 512.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.92 : 322.52 = 322.52 : x
  2. Step 2: Convert to fraction form
    202.92/322.52 = 322.52/x
  3. Step 3: Cross multiply
    202.92x = 322.52 × 322.52
  4. Step 4: Simplify right side
    202.92x = 104,021.37
  5. Step 5: Solve for x
    x = 104,021.37/202.92
  6. Step 6: Final answer
    x = 512.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.