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Finding the Third Proportional to 185,004 and 404,856

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Solution

The third proportional to 185,004 and 404,856 is: 885,972.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,004 : 404,856 = 404,856 : x
  2. Step 2: Convert to fraction form
    185,004/404,856 = 404,856/x
  3. Step 3: Cross multiply
    185,004x = 404,856 × 404,856
  4. Step 4: Simplify right side
    185,004x = 163,908,380,736
  5. Step 5: Solve for x
    x = 163,908,380,736/185,004
  6. Step 6: Final answer
    x = 885,972.09

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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.