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Finding the Third Proportional to 208,550.95 and 283,301.93

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Solution

The third proportional to 208,550.95 and 283,301.93 is: 384,845.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,550.95 : 283,301.93 = 283,301.93 : x
  2. Step 2: Convert to fraction form
    208,550.95/283,301.93 = 283,301.93/x
  3. Step 3: Cross multiply
    208,550.95x = 283,301.93 × 283,301.93
  4. Step 4: Simplify right side
    208,550.95x = 80,259,983,364.66
  5. Step 5: Solve for x
    x = 80,259,983,364.66/208,550.95
  6. Step 6: Final answer
    x = 384,845.92

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.