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Finding the Third Proportional to 161,026 and 236,615

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Solution

The third proportional to 161,026 and 236,615 is: 347,687.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,026 : 236,615 = 236,615 : x
  2. Step 2: Convert to fraction form
    161,026/236,615 = 236,615/x
  3. Step 3: Cross multiply
    161,026x = 236,615 × 236,615
  4. Step 4: Simplify right side
    161,026x = 55,986,658,225
  5. Step 5: Solve for x
    x = 55,986,658,225/161,026
  6. Step 6: Final answer
    x = 347,687.07

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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.