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Finding the Third Proportional to 202.13 and 469.03

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Solution

The third proportional to 202.13 and 469.03 is: 1,088.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.13 : 469.03 = 469.03 : x
  2. Step 2: Convert to fraction form
    202.13/469.03 = 469.03/x
  3. Step 3: Cross multiply
    202.13x = 469.03 × 469.03
  4. Step 4: Simplify right side
    202.13x = 219,990.31
  5. Step 5: Solve for x
    x = 219,990.31/202.13
  6. Step 6: Final answer
    x = 1,088.39

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.