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Finding the Third Proportional to 184,549 and 402,449

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Solution

The third proportional to 184,549 and 402,449 is: 877,627.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,549 : 402,449 = 402,449 : x
  2. Step 2: Convert to fraction form
    184,549/402,449 = 402,449/x
  3. Step 3: Cross multiply
    184,549x = 402,449 × 402,449
  4. Step 4: Simplify right side
    184,549x = 161,965,197,601
  5. Step 5: Solve for x
    x = 161,965,197,601/184,549
  6. Step 6: Final answer
    x = 877,627.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.