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Finding the Third Proportional to 161,016 and 236,598

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Solution

The third proportional to 161,016 and 236,598 is: 347,658.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,016 : 236,598 = 236,598 : x
  2. Step 2: Convert to fraction form
    161,016/236,598 = 236,598/x
  3. Step 3: Cross multiply
    161,016x = 236,598 × 236,598
  4. Step 4: Simplify right side
    161,016x = 55,978,613,604
  5. Step 5: Solve for x
    x = 55,978,613,604/161,016
  6. Step 6: Final answer
    x = 347,658.70

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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.