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Finding the Third Proportional to 286,161 and 442,684.50

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Solution

The third proportional to 286,161 and 442,684.50 is: 684,822.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,161 : 442,684.50 = 442,684.50 : x
  2. Step 2: Convert to fraction form
    286,161/442,684.50 = 442,684.50/x
  3. Step 3: Cross multiply
    286,161x = 442,684.50 × 442,684.50
  4. Step 4: Simplify right side
    286,161x = 195,969,566,540.25
  5. Step 5: Solve for x
    x = 195,969,566,540.25/286,161
  6. Step 6: Final answer
    x = 684,822.76

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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.