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Finding the Third Proportional to 183,524 and 404,299

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Solution

The third proportional to 183,524 and 404,299 is: 890,661.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,524 : 404,299 = 404,299 : x
  2. Step 2: Convert to fraction form
    183,524/404,299 = 404,299/x
  3. Step 3: Cross multiply
    183,524x = 404,299 × 404,299
  4. Step 4: Simplify right side
    183,524x = 163,457,681,401
  5. Step 5: Solve for x
    x = 163,457,681,401/183,524
  6. Step 6: Final answer
    x = 890,661.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.