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Finding the Third Proportional to 184,220.58 and 405,551.81

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Solution

The third proportional to 184,220.58 and 405,551.81 is: 892,800.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,220.58 : 405,551.81 = 405,551.81 : x
  2. Step 2: Convert to fraction form
    184,220.58/405,551.81 = 405,551.81/x
  3. Step 3: Cross multiply
    184,220.58x = 405,551.81 × 405,551.81
  4. Step 4: Simplify right side
    184,220.58x = 164,472,272,622.04
  5. Step 5: Solve for x
    x = 164,472,272,622.04/184,220.58
  6. Step 6: Final answer
    x = 892,800.76

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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.