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Finding the Third Proportional to 161,004.38 and 236,581.13

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Solution

The third proportional to 161,004.38 and 236,581.13 is: 347,634.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,004.38 : 236,581.13 = 236,581.13 : x
  2. Step 2: Convert to fraction form
    161,004.38/236,581.13 = 236,581.13/x
  3. Step 3: Cross multiply
    161,004.38x = 236,581.13 × 236,581.13
  4. Step 4: Simplify right side
    161,004.38x = 55,970,628,706.27
  5. Step 5: Solve for x
    x = 55,970,628,706.27/161,004.38
  6. Step 6: Final answer
    x = 347,634.21

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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.