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Finding the Third Proportional to 198,470 and 298,155

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Solution

The third proportional to 198,470 and 298,155 is: 447,908.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,470 : 298,155 = 298,155 : x
  2. Step 2: Convert to fraction form
    198,470/298,155 = 298,155/x
  3. Step 3: Cross multiply
    198,470x = 298,155 × 298,155
  4. Step 4: Simplify right side
    198,470x = 88,896,404,025
  5. Step 5: Solve for x
    x = 88,896,404,025/198,470
  6. Step 6: Final answer
    x = 447,908.52

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