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Finding the Third Proportional to 172,069.31 and 355,201.03

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Solution

The third proportional to 172,069.31 and 355,201.03 is: 733,238.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,069.31 : 355,201.03 = 355,201.03 : x
  2. Step 2: Convert to fraction form
    172,069.31/355,201.03 = 355,201.03/x
  3. Step 3: Cross multiply
    172,069.31x = 355,201.03 × 355,201.03
  4. Step 4: Simplify right side
    172,069.31x = 126,167,772,601.06
  5. Step 5: Solve for x
    x = 126,167,772,601.06/172,069.31
  6. Step 6: Final answer
    x = 733,238.08

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.