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Finding the Third Proportional to 149,563.13 and 322,894.69

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Solution

The third proportional to 149,563.13 and 322,894.69 is: 697,103.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,563.13 : 322,894.69 = 322,894.69 : x
  2. Step 2: Convert to fraction form
    149,563.13/322,894.69 = 322,894.69/x
  3. Step 3: Cross multiply
    149,563.13x = 322,894.69 × 322,894.69
  4. Step 4: Simplify right side
    149,563.13x = 104,260,979,215.72
  5. Step 5: Solve for x
    x = 104,260,979,215.72/149,563.13
  6. Step 6: Final answer
    x = 697,103.51

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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.