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Finding the Third Proportional to 184,128 and 403,401

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Solution

The third proportional to 184,128 and 403,401 is: 883,800.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,128 : 403,401 = 403,401 : x
  2. Step 2: Convert to fraction form
    184,128/403,401 = 403,401/x
  3. Step 3: Cross multiply
    184,128x = 403,401 × 403,401
  4. Step 4: Simplify right side
    184,128x = 162,732,366,801
  5. Step 5: Solve for x
    x = 162,732,366,801/184,128
  6. Step 6: Final answer
    x = 883,800.22

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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.