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Finding the Third Proportional to 154,503 and 325,614

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Solution

The third proportional to 154,503 and 325,614 is: 686,229.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,503 : 325,614 = 325,614 : x
  2. Step 2: Convert to fraction form
    154,503/325,614 = 325,614/x
  3. Step 3: Cross multiply
    154,503x = 325,614 × 325,614
  4. Step 4: Simplify right side
    154,503x = 106,024,476,996
  5. Step 5: Solve for x
    x = 106,024,476,996/154,503
  6. Step 6: Final answer
    x = 686,229.24

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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.