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Finding the Third Proportional to 199,762.75 and 429,171

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Solution

The third proportional to 199,762.75 and 429,171 is: 922,032.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,762.75 : 429,171 = 429,171 : x
  2. Step 2: Convert to fraction form
    199,762.75/429,171 = 429,171/x
  3. Step 3: Cross multiply
    199,762.75x = 429,171 × 429,171
  4. Step 4: Simplify right side
    199,762.75x = 184,187,747,241
  5. Step 5: Solve for x
    x = 184,187,747,241/199,762.75
  6. Step 6: Final answer
    x = 922,032.50

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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.