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Finding the Third Proportional to 199,024 and 298,413

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Solution

The third proportional to 199,024 and 298,413 is: 447,435.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,024 : 298,413 = 298,413 : x
  2. Step 2: Convert to fraction form
    199,024/298,413 = 298,413/x
  3. Step 3: Cross multiply
    199,024x = 298,413 × 298,413
  4. Step 4: Simplify right side
    199,024x = 89,050,318,569
  5. Step 5: Solve for x
    x = 89,050,318,569/199,024
  6. Step 6: Final answer
    x = 447,435.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.