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Finding the Third Proportional to 149,320.13 and 322,391.81

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Solution

The third proportional to 149,320.13 and 322,391.81 is: 696,064.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,320.13 : 322,391.81 = 322,391.81 : x
  2. Step 2: Convert to fraction form
    149,320.13/322,391.81 = 322,391.81/x
  3. Step 3: Cross multiply
    149,320.13x = 322,391.81 × 322,391.81
  4. Step 4: Simplify right side
    149,320.13x = 103,936,480,767.04
  5. Step 5: Solve for x
    x = 103,936,480,767.04/149,320.13
  6. Step 6: Final answer
    x = 696,064.79

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