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Finding the Third Proportional to 164,207.25 and 355,401

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Solution

The third proportional to 164,207.25 and 355,401 is: 769,210.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,207.25 : 355,401 = 355,401 : x
  2. Step 2: Convert to fraction form
    164,207.25/355,401 = 355,401/x
  3. Step 3: Cross multiply
    164,207.25x = 355,401 × 355,401
  4. Step 4: Simplify right side
    164,207.25x = 126,309,870,801
  5. Step 5: Solve for x
    x = 126,309,870,801/164,207.25
  6. Step 6: Final answer
    x = 769,210.07

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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.