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Finding the Third Proportional to 184,138 and 407,588

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Solution

The third proportional to 184,138 and 407,588 is: 902,192.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,138 : 407,588 = 407,588 : x
  2. Step 2: Convert to fraction form
    184,138/407,588 = 407,588/x
  3. Step 3: Cross multiply
    184,138x = 407,588 × 407,588
  4. Step 4: Simplify right side
    184,138x = 166,127,977,744
  5. Step 5: Solve for x
    x = 166,127,977,744/184,138
  6. Step 6: Final answer
    x = 902,192.80

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.