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Finding the Third Proportional to 161,468.44 and 231,128.44

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Solution

The third proportional to 161,468.44 and 231,128.44 is: 330,840.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,468.44 : 231,128.44 = 231,128.44 : x
  2. Step 2: Convert to fraction form
    161,468.44/231,128.44 = 231,128.44/x
  3. Step 3: Cross multiply
    161,468.44x = 231,128.44 × 231,128.44
  4. Step 4: Simplify right side
    161,468.44x = 53,420,354,621.19
  5. Step 5: Solve for x
    x = 53,420,354,621.19/161,468.44
  6. Step 6: Final answer
    x = 330,840.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.