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Finding the Third Proportional to 161,457.75 and 251,997.75

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Solution

The third proportional to 161,457.75 and 251,997.75 is: 393,309.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,457.75 : 251,997.75 = 251,997.75 : x
  2. Step 2: Convert to fraction form
    161,457.75/251,997.75 = 251,997.75/x
  3. Step 3: Cross multiply
    161,457.75x = 251,997.75 × 251,997.75
  4. Step 4: Simplify right side
    161,457.75x = 63,502,866,005.06
  5. Step 5: Solve for x
    x = 63,502,866,005.06/161,457.75
  6. Step 6: Final answer
    x = 393,309.49

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.