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Finding the Third Proportional to 161,144 and 236,972

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Solution

The third proportional to 161,144 and 236,972 is: 348,481.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,144 : 236,972 = 236,972 : x
  2. Step 2: Convert to fraction form
    161,144/236,972 = 236,972/x
  3. Step 3: Cross multiply
    161,144x = 236,972 × 236,972
  4. Step 4: Simplify right side
    161,144x = 56,155,728,784
  5. Step 5: Solve for x
    x = 56,155,728,784/161,144
  6. Step 6: Final answer
    x = 348,481.66

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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.