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Finding the Third Proportional to 175,804 and 279,516

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Solution

The third proportional to 175,804 and 279,516 is: 444,410.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,804 : 279,516 = 279,516 : x
  2. Step 2: Convert to fraction form
    175,804/279,516 = 279,516/x
  3. Step 3: Cross multiply
    175,804x = 279,516 × 279,516
  4. Step 4: Simplify right side
    175,804x = 78,129,194,256
  5. Step 5: Solve for x
    x = 78,129,194,256/175,804
  6. Step 6: Final answer
    x = 444,410.79

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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.