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Finding the Third Proportional to 200.25 and 420.19

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Solution

The third proportional to 200.25 and 420.19 is: 881.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.25 : 420.19 = 420.19 : x
  2. Step 2: Convert to fraction form
    200.25/420.19 = 420.19/x
  3. Step 3: Cross multiply
    200.25x = 420.19 × 420.19
  4. Step 4: Simplify right side
    200.25x = 176,557.54
  5. Step 5: Solve for x
    x = 176,557.54/200.25
  6. Step 6: Final answer
    x = 881.69

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.