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Finding the Third Proportional to 198,255 and 297,444

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Solution

The third proportional to 198,255 and 297,444 is: 446,258.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,255 : 297,444 = 297,444 : x
  2. Step 2: Convert to fraction form
    198,255/297,444 = 297,444/x
  3. Step 3: Cross multiply
    198,255x = 297,444 × 297,444
  4. Step 4: Simplify right side
    198,255x = 88,472,933,136
  5. Step 5: Solve for x
    x = 88,472,933,136/198,255
  6. Step 6: Final answer
    x = 446,258.27

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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.