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Finding the Third Proportional to 184,972 and 404,188

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Solution

The third proportional to 184,972 and 404,188 is: 883,203.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,972 : 404,188 = 404,188 : x
  2. Step 2: Convert to fraction form
    184,972/404,188 = 404,188/x
  3. Step 3: Cross multiply
    184,972x = 404,188 × 404,188
  4. Step 4: Simplify right side
    184,972x = 163,367,939,344
  5. Step 5: Solve for x
    x = 163,367,939,344/184,972
  6. Step 6: Final answer
    x = 883,203.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.