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Finding the Third Proportional to 197,477.25 and 297,954

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Solution

The third proportional to 197,477.25 and 297,954 is: 449,553.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,477.25 : 297,954 = 297,954 : x
  2. Step 2: Convert to fraction form
    197,477.25/297,954 = 297,954/x
  3. Step 3: Cross multiply
    197,477.25x = 297,954 × 297,954
  4. Step 4: Simplify right side
    197,477.25x = 88,776,586,116
  5. Step 5: Solve for x
    x = 88,776,586,116/197,477.25
  6. Step 6: Final answer
    x = 449,553.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.