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Finding the Third Proportional to 181,035 and 287,073

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Solution

The third proportional to 181,035 and 287,073 is: 455,220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,035 : 287,073 = 287,073 : x
  2. Step 2: Convert to fraction form
    181,035/287,073 = 287,073/x
  3. Step 3: Cross multiply
    181,035x = 287,073 × 287,073
  4. Step 4: Simplify right side
    181,035x = 82,410,907,329
  5. Step 5: Solve for x
    x = 82,410,907,329/181,035
  6. Step 6: Final answer
    x = 455,220.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.