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Finding the Third Proportional to 149,592 and 322,965

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Solution

The third proportional to 149,592 and 322,965 is: 697,272.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,592 : 322,965 = 322,965 : x
  2. Step 2: Convert to fraction form
    149,592/322,965 = 322,965/x
  3. Step 3: Cross multiply
    149,592x = 322,965 × 322,965
  4. Step 4: Simplify right side
    149,592x = 104,306,391,225
  5. Step 5: Solve for x
    x = 104,306,391,225/149,592
  6. Step 6: Final answer
    x = 697,272.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.