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Finding the Third Proportional to 161,111 and 236,732

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Solution

The third proportional to 161,111 and 236,732 is: 347,847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,111 : 236,732 = 236,732 : x
  2. Step 2: Convert to fraction form
    161,111/236,732 = 236,732/x
  3. Step 3: Cross multiply
    161,111x = 236,732 × 236,732
  4. Step 4: Simplify right side
    161,111x = 56,042,039,824
  5. Step 5: Solve for x
    x = 56,042,039,824/161,111
  6. Step 6: Final answer
    x = 347,847.38

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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.