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Finding the Third Proportional to 156,573 and 349,005

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Solution

The third proportional to 156,573 and 349,005 is: 777,940.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,573 : 349,005 = 349,005 : x
  2. Step 2: Convert to fraction form
    156,573/349,005 = 349,005/x
  3. Step 3: Cross multiply
    156,573x = 349,005 × 349,005
  4. Step 4: Simplify right side
    156,573x = 121,804,490,025
  5. Step 5: Solve for x
    x = 121,804,490,025/156,573
  6. Step 6: Final answer
    x = 777,940.58

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.