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Finding the Third Proportional to 188,483 and 403,035

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Solution

The third proportional to 188,483 and 403,035 is: 861,813.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,483 : 403,035 = 403,035 : x
  2. Step 2: Convert to fraction form
    188,483/403,035 = 403,035/x
  3. Step 3: Cross multiply
    188,483x = 403,035 × 403,035
  4. Step 4: Simplify right side
    188,483x = 162,437,211,225
  5. Step 5: Solve for x
    x = 162,437,211,225/188,483
  6. Step 6: Final answer
    x = 861,813.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.