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Finding the Third Proportional to 208.13 and 322.50

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Solution

The third proportional to 208.13 and 322.50 is: 499.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.13 : 322.50 = 322.50 : x
  2. Step 2: Convert to fraction form
    208.13/322.50 = 322.50/x
  3. Step 3: Cross multiply
    208.13x = 322.50 × 322.50
  4. Step 4: Simplify right side
    208.13x = 104,006.25
  5. Step 5: Solve for x
    x = 104,006.25/208.13
  6. Step 6: Final answer
    x = 499.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.