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Finding the Third Proportional to 198,352 and 297,954

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Solution

The third proportional to 198,352 and 297,954 is: 447,570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,352 : 297,954 = 297,954 : x
  2. Step 2: Convert to fraction form
    198,352/297,954 = 297,954/x
  3. Step 3: Cross multiply
    198,352x = 297,954 × 297,954
  4. Step 4: Simplify right side
    198,352x = 88,776,586,116
  5. Step 5: Solve for x
    x = 88,776,586,116/198,352
  6. Step 6: Final answer
    x = 447,570.91

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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.