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Finding the Third Proportional to 132,306 and 198,483

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Solution

The third proportional to 132,306 and 198,483 is: 297,760.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,306 : 198,483 = 198,483 : x
  2. Step 2: Convert to fraction form
    132,306/198,483 = 198,483/x
  3. Step 3: Cross multiply
    132,306x = 198,483 × 198,483
  4. Step 4: Simplify right side
    132,306x = 39,395,501,289
  5. Step 5: Solve for x
    x = 39,395,501,289/132,306
  6. Step 6: Final answer
    x = 297,760.50

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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.