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Finding the Third Proportional to 154,510 and 325,622

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Solution

The third proportional to 154,510 and 325,622 is: 686,231.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,510 : 325,622 = 325,622 : x
  2. Step 2: Convert to fraction form
    154,510/325,622 = 325,622/x
  3. Step 3: Cross multiply
    154,510x = 325,622 × 325,622
  4. Step 4: Simplify right side
    154,510x = 106,029,686,884
  5. Step 5: Solve for x
    x = 106,029,686,884/154,510
  6. Step 6: Final answer
    x = 686,231.87

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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.