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Finding the Third Proportional to 200.25 and 314.06

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Solution

The third proportional to 200.25 and 314.06 is: 492.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.25 : 314.06 = 314.06 : x
  2. Step 2: Convert to fraction form
    200.25/314.06 = 314.06/x
  3. Step 3: Cross multiply
    200.25x = 314.06 × 314.06
  4. Step 4: Simplify right side
    200.25x = 98,635.25
  5. Step 5: Solve for x
    x = 98,635.25/200.25
  6. Step 6: Final answer
    x = 492.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.