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Finding the Third Proportional to 199,761 and 429,167.50

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Solution

The third proportional to 199,761 and 429,167.50 is: 922,025.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,761 : 429,167.50 = 429,167.50 : x
  2. Step 2: Convert to fraction form
    199,761/429,167.50 = 429,167.50/x
  3. Step 3: Cross multiply
    199,761x = 429,167.50 × 429,167.50
  4. Step 4: Simplify right side
    199,761x = 184,184,743,056.25
  5. Step 5: Solve for x
    x = 184,184,743,056.25/199,761
  6. Step 6: Final answer
    x = 922,025.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.