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Finding the Third Proportional to 184,042.13 and 394,328.25

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Solution

The third proportional to 184,042.13 and 394,328.25 is: 844,886.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,042.13 : 394,328.25 = 394,328.25 : x
  2. Step 2: Convert to fraction form
    184,042.13/394,328.25 = 394,328.25/x
  3. Step 3: Cross multiply
    184,042.13x = 394,328.25 × 394,328.25
  4. Step 4: Simplify right side
    184,042.13x = 155,494,768,748.06
  5. Step 5: Solve for x
    x = 155,494,768,748.06/184,042.13
  6. Step 6: Final answer
    x = 844,886.84

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.