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Finding the Third Proportional to 208,648.13 and 327,658.50

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Solution

The third proportional to 208,648.13 and 327,658.50 is: 514,550.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,648.13 : 327,658.50 = 327,658.50 : x
  2. Step 2: Convert to fraction form
    208,648.13/327,658.50 = 327,658.50/x
  3. Step 3: Cross multiply
    208,648.13x = 327,658.50 × 327,658.50
  4. Step 4: Simplify right side
    208,648.13x = 107,360,092,622.25
  5. Step 5: Solve for x
    x = 107,360,092,622.25/208,648.13
  6. Step 6: Final answer
    x = 514,550.96

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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.