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Finding the Third Proportional to 199,435.50 and 296,019

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Solution

The third proportional to 199,435.50 and 296,019 is: 439,376.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,435.50 : 296,019 = 296,019 : x
  2. Step 2: Convert to fraction form
    199,435.50/296,019 = 296,019/x
  3. Step 3: Cross multiply
    199,435.50x = 296,019 × 296,019
  4. Step 4: Simplify right side
    199,435.50x = 87,627,248,361
  5. Step 5: Solve for x
    x = 87,627,248,361/199,435.50
  6. Step 6: Final answer
    x = 439,376.38

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.