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Finding the Third Proportional to 286,168.50 and 442,716.19

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Solution

The third proportional to 286,168.50 and 442,716.19 is: 684,902.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,168.50 : 442,716.19 = 442,716.19 : x
  2. Step 2: Convert to fraction form
    286,168.50/442,716.19 = 442,716.19/x
  3. Step 3: Cross multiply
    286,168.50x = 442,716.19 × 442,716.19
  4. Step 4: Simplify right side
    286,168.50x = 195,997,622,674.54
  5. Step 5: Solve for x
    x = 195,997,622,674.54/286,168.50
  6. Step 6: Final answer
    x = 684,902.86

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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.