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Finding the Third Proportional to 160,194.38 and 341,094.38

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Solution

The third proportional to 160,194.38 and 341,094.38 is: 726,276.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,194.38 : 341,094.38 = 341,094.38 : x
  2. Step 2: Convert to fraction form
    160,194.38/341,094.38 = 341,094.38/x
  3. Step 3: Cross multiply
    160,194.38x = 341,094.38 × 341,094.38
  4. Step 4: Simplify right side
    160,194.38x = 116,345,372,656.64
  5. Step 5: Solve for x
    x = 116,345,372,656.64/160,194.38
  6. Step 6: Final answer
    x = 726,276.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.