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Finding the Third Proportional to 156,004 and 336,914

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Solution

The third proportional to 156,004 and 336,914 is: 727,616.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,004 : 336,914 = 336,914 : x
  2. Step 2: Convert to fraction form
    156,004/336,914 = 336,914/x
  3. Step 3: Cross multiply
    156,004x = 336,914 × 336,914
  4. Step 4: Simplify right side
    156,004x = 113,511,043,396
  5. Step 5: Solve for x
    x = 113,511,043,396/156,004
  6. Step 6: Final answer
    x = 727,616.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.