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Finding the Third Proportional to 161,058 and 236,851

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Solution

The third proportional to 161,058 and 236,851 is: 348,311.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,058 : 236,851 = 236,851 : x
  2. Step 2: Convert to fraction form
    161,058/236,851 = 236,851/x
  3. Step 3: Cross multiply
    161,058x = 236,851 × 236,851
  4. Step 4: Simplify right side
    161,058x = 56,098,396,201
  5. Step 5: Solve for x
    x = 56,098,396,201/161,058
  6. Step 6: Final answer
    x = 348,311.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.