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Finding the Third Proportional to 196,772 and 297,502

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Solution

The third proportional to 196,772 and 297,502 is: 449,796.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,772 : 297,502 = 297,502 : x
  2. Step 2: Convert to fraction form
    196,772/297,502 = 297,502/x
  3. Step 3: Cross multiply
    196,772x = 297,502 × 297,502
  4. Step 4: Simplify right side
    196,772x = 88,507,440,004
  5. Step 5: Solve for x
    x = 88,507,440,004/196,772
  6. Step 6: Final answer
    x = 449,796.92

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