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Finding the Third Proportional to 208.95 and 452.07

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Solution

The third proportional to 208.95 and 452.07 is: 978.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.95 : 452.07 = 452.07 : x
  2. Step 2: Convert to fraction form
    208.95/452.07 = 452.07/x
  3. Step 3: Cross multiply
    208.95x = 452.07 × 452.07
  4. Step 4: Simplify right side
    208.95x = 204,363.15
  5. Step 5: Solve for x
    x = 204,363.15/208.95
  6. Step 6: Final answer
    x = 978.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.