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Finding the Third Proportional to 160,078 and 231,852

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Solution

The third proportional to 160,078 and 231,852 is: 335,807.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,078 : 231,852 = 231,852 : x
  2. Step 2: Convert to fraction form
    160,078/231,852 = 231,852/x
  3. Step 3: Cross multiply
    160,078x = 231,852 × 231,852
  4. Step 4: Simplify right side
    160,078x = 53,755,349,904
  5. Step 5: Solve for x
    x = 53,755,349,904/160,078
  6. Step 6: Final answer
    x = 335,807.23

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.