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Finding the Third Proportional to 161,960 and 355,808

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Solution

The third proportional to 161,960 and 355,808 is: 781,670.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,960 : 355,808 = 355,808 : x
  2. Step 2: Convert to fraction form
    161,960/355,808 = 355,808/x
  3. Step 3: Cross multiply
    161,960x = 355,808 × 355,808
  4. Step 4: Simplify right side
    161,960x = 126,599,332,864
  5. Step 5: Solve for x
    x = 126,599,332,864/161,960
  6. Step 6: Final answer
    x = 781,670.37

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Why These Related Problems?

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