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Finding the Third Proportional to 175,806 and 279,519

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Solution

The third proportional to 175,806 and 279,519 is: 444,415.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,806 : 279,519 = 279,519 : x
  2. Step 2: Convert to fraction form
    175,806/279,519 = 279,519/x
  3. Step 3: Cross multiply
    175,806x = 279,519 × 279,519
  4. Step 4: Simplify right side
    175,806x = 78,130,871,361
  5. Step 5: Solve for x
    x = 78,130,871,361/175,806
  6. Step 6: Final answer
    x = 444,415.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.