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Finding the Third Proportional to 155,517 and 327,633

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Solution

The third proportional to 155,517 and 327,633 is: 690,235.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,517 : 327,633 = 327,633 : x
  2. Step 2: Convert to fraction form
    155,517/327,633 = 327,633/x
  3. Step 3: Cross multiply
    155,517x = 327,633 × 327,633
  4. Step 4: Simplify right side
    155,517x = 107,343,382,689
  5. Step 5: Solve for x
    x = 107,343,382,689/155,517
  6. Step 6: Final answer
    x = 690,235.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.