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Finding the Third Proportional to 184,407.75 and 402,327.75

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Solution

The third proportional to 184,407.75 and 402,327.75 is: 877,770.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,407.75 : 402,327.75 = 402,327.75 : x
  2. Step 2: Convert to fraction form
    184,407.75/402,327.75 = 402,327.75/x
  3. Step 3: Cross multiply
    184,407.75x = 402,327.75 × 402,327.75
  4. Step 4: Simplify right side
    184,407.75x = 161,867,618,420.06
  5. Step 5: Solve for x
    x = 161,867,618,420.06/184,407.75
  6. Step 6: Final answer
    x = 877,770.15

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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.