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Finding the Third Proportional to 196,982 and 295,413

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Solution

The third proportional to 196,982 and 295,413 is: 443,029.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,982 : 295,413 = 295,413 : x
  2. Step 2: Convert to fraction form
    196,982/295,413 = 295,413/x
  3. Step 3: Cross multiply
    196,982x = 295,413 × 295,413
  4. Step 4: Simplify right side
    196,982x = 87,268,840,569
  5. Step 5: Solve for x
    x = 87,268,840,569/196,982
  6. Step 6: Final answer
    x = 443,029.52

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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.