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Finding the Third Proportional to 161,048 and 236,836

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Solution

The third proportional to 161,048 and 236,836 is: 348,289.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,048 : 236,836 = 236,836 : x
  2. Step 2: Convert to fraction form
    161,048/236,836 = 236,836/x
  3. Step 3: Cross multiply
    161,048x = 236,836 × 236,836
  4. Step 4: Simplify right side
    161,048x = 56,091,290,896
  5. Step 5: Solve for x
    x = 56,091,290,896/161,048
  6. Step 6: Final answer
    x = 348,289.27

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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.