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Finding the Third Proportional to 198,292 and 297,222

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Solution

The third proportional to 198,292 and 297,222 is: 445,509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,292 : 297,222 = 297,222 : x
  2. Step 2: Convert to fraction form
    198,292/297,222 = 297,222/x
  3. Step 3: Cross multiply
    198,292x = 297,222 × 297,222
  4. Step 4: Simplify right side
    198,292x = 88,340,917,284
  5. Step 5: Solve for x
    x = 88,340,917,284/198,292
  6. Step 6: Final answer
    x = 445,509.24

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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.