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Finding the Third Proportional to 161,847 and 253,887.75

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Solution

The third proportional to 161,847 and 253,887.75 is: 398,271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,847 : 253,887.75 = 253,887.75 : x
  2. Step 2: Convert to fraction form
    161,847/253,887.75 = 253,887.75/x
  3. Step 3: Cross multiply
    161,847x = 253,887.75 × 253,887.75
  4. Step 4: Simplify right side
    161,847x = 64,458,989,600.06
  5. Step 5: Solve for x
    x = 64,458,989,600.06/161,847
  6. Step 6: Final answer
    x = 398,271.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.