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Finding the Third Proportional to 156,983.06 and 343,308.38

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Solution

The third proportional to 156,983.06 and 343,308.38 is: 750,785.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,983.06 : 343,308.38 = 343,308.38 : x
  2. Step 2: Convert to fraction form
    156,983.06/343,308.38 = 343,308.38/x
  3. Step 3: Cross multiply
    156,983.06x = 343,308.38 × 343,308.38
  4. Step 4: Simplify right side
    156,983.06x = 117,860,640,345.14
  5. Step 5: Solve for x
    x = 117,860,640,345.14/156,983.06
  6. Step 6: Final answer
    x = 750,785.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.