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Finding the Third Proportional to 149,568.19 and 328,196.81

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Solution

The third proportional to 149,568.19 and 328,196.81 is: 720,160.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,568.19 : 328,196.81 = 328,196.81 : x
  2. Step 2: Convert to fraction form
    149,568.19/328,196.81 = 328,196.81/x
  3. Step 3: Cross multiply
    149,568.19x = 328,196.81 × 328,196.81
  4. Step 4: Simplify right side
    149,568.19x = 107,713,147,735.16
  5. Step 5: Solve for x
    x = 107,713,147,735.16/149,568.19
  6. Step 6: Final answer
    x = 720,160.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.