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Finding the Third Proportional to 208.59 and 449.93

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Solution

The third proportional to 208.59 and 449.93 is: 970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.59 : 449.93 = 449.93 : x
  2. Step 2: Convert to fraction form
    208.59/449.93 = 449.93/x
  3. Step 3: Cross multiply
    208.59x = 449.93 × 449.93
  4. Step 4: Simplify right side
    208.59x = 202,436.72
  5. Step 5: Solve for x
    x = 202,436.72/208.59
  6. Step 6: Final answer
    x = 970.50

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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.