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Finding the Third Proportional to 199,737 and 429,918.75

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Solution

The third proportional to 199,737 and 429,918.75 is: 925,367.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,737 : 429,918.75 = 429,918.75 : x
  2. Step 2: Convert to fraction form
    199,737/429,918.75 = 429,918.75/x
  3. Step 3: Cross multiply
    199,737x = 429,918.75 × 429,918.75
  4. Step 4: Simplify right side
    199,737x = 184,830,131,601.56
  5. Step 5: Solve for x
    x = 184,830,131,601.56/199,737
  6. Step 6: Final answer
    x = 925,367.52

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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.