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Finding the Third Proportional to 164,006.25 and 355,215

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Solution

The third proportional to 164,006.25 and 355,215 is: 769,346.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,006.25 : 355,215 = 355,215 : x
  2. Step 2: Convert to fraction form
    164,006.25/355,215 = 355,215/x
  3. Step 3: Cross multiply
    164,006.25x = 355,215 × 355,215
  4. Step 4: Simplify right side
    164,006.25x = 126,177,696,225
  5. Step 5: Solve for x
    x = 126,177,696,225/164,006.25
  6. Step 6: Final answer
    x = 769,346.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.