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Finding the Third Proportional to 161,984 and 355,856

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Solution

The third proportional to 161,984 and 355,856 is: 781,765.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,984 : 355,856 = 355,856 : x
  2. Step 2: Convert to fraction form
    161,984/355,856 = 355,856/x
  3. Step 3: Cross multiply
    161,984x = 355,856 × 355,856
  4. Step 4: Simplify right side
    161,984x = 126,633,492,736
  5. Step 5: Solve for x
    x = 126,633,492,736/161,984
  6. Step 6: Final answer
    x = 781,765.44

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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.