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Finding the Third Proportional to 202.18 and 419.55

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Solution

The third proportional to 202.18 and 419.55 is: 870.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.18 : 419.55 = 419.55 : x
  2. Step 2: Convert to fraction form
    202.18/419.55 = 419.55/x
  3. Step 3: Cross multiply
    202.18x = 419.55 × 419.55
  4. Step 4: Simplify right side
    202.18x = 176,026.14
  5. Step 5: Solve for x
    x = 176,026.14/202.18
  6. Step 6: Final answer
    x = 870.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.