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Finding the Third Proportional to 72,616 and 156,357

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Solution

The third proportional to 72,616 and 156,357 is: 336,668.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,616 : 156,357 = 156,357 : x
  2. Step 2: Convert to fraction form
    72,616/156,357 = 156,357/x
  3. Step 3: Cross multiply
    72,616x = 156,357 × 156,357
  4. Step 4: Simplify right side
    72,616x = 24,447,511,449
  5. Step 5: Solve for x
    x = 24,447,511,449/72,616
  6. Step 6: Final answer
    x = 336,668.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.