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Finding the Third Proportional to 184,375.69 and 402,262.31

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Solution

The third proportional to 184,375.69 and 402,262.31 is: 877,637.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,375.69 : 402,262.31 = 402,262.31 : x
  2. Step 2: Convert to fraction form
    184,375.69/402,262.31 = 402,262.31/x
  3. Step 3: Cross multiply
    184,375.69x = 402,262.31 × 402,262.31
  4. Step 4: Simplify right side
    184,375.69x = 161,814,968,057.85
  5. Step 5: Solve for x
    x = 161,814,968,057.85/184,375.69
  6. Step 6: Final answer
    x = 877,637.23

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