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Finding the Third Proportional to 156,823 and 372,616

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Solution

The third proportional to 156,823 and 372,616 is: 885,346.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,823 : 372,616 = 372,616 : x
  2. Step 2: Convert to fraction form
    156,823/372,616 = 372,616/x
  3. Step 3: Cross multiply
    156,823x = 372,616 × 372,616
  4. Step 4: Simplify right side
    156,823x = 138,842,683,456
  5. Step 5: Solve for x
    x = 138,842,683,456/156,823
  6. Step 6: Final answer
    x = 885,346.43

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.