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Finding the Third Proportional to 161,944 and 355,771

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Solution

The third proportional to 161,944 and 355,771 is: 781,585.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,944 : 355,771 = 355,771 : x
  2. Step 2: Convert to fraction form
    161,944/355,771 = 355,771/x
  3. Step 3: Cross multiply
    161,944x = 355,771 × 355,771
  4. Step 4: Simplify right side
    161,944x = 126,573,004,441
  5. Step 5: Solve for x
    x = 126,573,004,441/161,944
  6. Step 6: Final answer
    x = 781,585.02

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.