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Finding the Third Proportional to 152,636 and 327,844

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Solution

The third proportional to 152,636 and 327,844 is: 704,169.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,636 : 327,844 = 327,844 : x
  2. Step 2: Convert to fraction form
    152,636/327,844 = 327,844/x
  3. Step 3: Cross multiply
    152,636x = 327,844 × 327,844
  4. Step 4: Simplify right side
    152,636x = 107,481,688,336
  5. Step 5: Solve for x
    x = 107,481,688,336/152,636
  6. Step 6: Final answer
    x = 704,169.98

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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.