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Finding the Third Proportional to 188,182 and 403,652

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Solution

The third proportional to 188,182 and 403,652 is: 865,836.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,182 : 403,652 = 403,652 : x
  2. Step 2: Convert to fraction form
    188,182/403,652 = 403,652/x
  3. Step 3: Cross multiply
    188,182x = 403,652 × 403,652
  4. Step 4: Simplify right side
    188,182x = 162,934,937,104
  5. Step 5: Solve for x
    x = 162,934,937,104/188,182
  6. Step 6: Final answer
    x = 865,836.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.