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Finding the Third Proportional to 184,369 and 402,109

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Solution

The third proportional to 184,369 and 402,109 is: 877,000.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,369 : 402,109 = 402,109 : x
  2. Step 2: Convert to fraction form
    184,369/402,109 = 402,109/x
  3. Step 3: Cross multiply
    184,369x = 402,109 × 402,109
  4. Step 4: Simplify right side
    184,369x = 161,691,647,881
  5. Step 5: Solve for x
    x = 161,691,647,881/184,369
  6. Step 6: Final answer
    x = 877,000.19

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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.