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Finding the Third Proportional to 156,145.22 and 335,970.28

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Solution

The third proportional to 156,145.22 and 335,970.28 is: 722,891.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,145.22 : 335,970.28 = 335,970.28 : x
  2. Step 2: Convert to fraction form
    156,145.22/335,970.28 = 335,970.28/x
  3. Step 3: Cross multiply
    156,145.22x = 335,970.28 × 335,970.28
  4. Step 4: Simplify right side
    156,145.22x = 112,876,029,883.20
  5. Step 5: Solve for x
    x = 112,876,029,883.20/156,145.22
  6. Step 6: Final answer
    x = 722,891.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.