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Finding the Third Proportional to 164,155.36 and 359,450.79

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Solution

The third proportional to 164,155.36 and 359,450.79 is: 787,088.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,155.36 : 359,450.79 = 359,450.79 : x
  2. Step 2: Convert to fraction form
    164,155.36/359,450.79 = 359,450.79/x
  3. Step 3: Cross multiply
    164,155.36x = 359,450.79 × 359,450.79
  4. Step 4: Simplify right side
    164,155.36x = 129,204,869,757.65
  5. Step 5: Solve for x
    x = 129,204,869,757.65/164,155.36
  6. Step 6: Final answer
    x = 787,088.95

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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.