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Finding the Third Proportional to 156,626 and 333,772

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Solution

The third proportional to 156,626 and 333,772 is: 711,272.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,626 : 333,772 = 333,772 : x
  2. Step 2: Convert to fraction form
    156,626/333,772 = 333,772/x
  3. Step 3: Cross multiply
    156,626x = 333,772 × 333,772
  4. Step 4: Simplify right side
    156,626x = 111,403,747,984
  5. Step 5: Solve for x
    x = 111,403,747,984/156,626
  6. Step 6: Final answer
    x = 711,272.38

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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.