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Finding the Third Proportional to 199,765.50 and 429,176

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Solution

The third proportional to 199,765.50 and 429,176 is: 922,041.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,765.50 : 429,176 = 429,176 : x
  2. Step 2: Convert to fraction form
    199,765.50/429,176 = 429,176/x
  3. Step 3: Cross multiply
    199,765.50x = 429,176 × 429,176
  4. Step 4: Simplify right side
    199,765.50x = 184,192,038,976
  5. Step 5: Solve for x
    x = 184,192,038,976/199,765.50
  6. Step 6: Final answer
    x = 922,041.29

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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.