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Finding the Third Proportional to 175,506.75 and 279,298.13

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Solution

The third proportional to 175,506.75 and 279,298.13 is: 444,469.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,506.75 : 279,298.13 = 279,298.13 : x
  2. Step 2: Convert to fraction form
    175,506.75/279,298.13 = 279,298.13/x
  3. Step 3: Cross multiply
    175,506.75x = 279,298.13 × 279,298.13
  4. Step 4: Simplify right side
    175,506.75x = 78,007,442,628.52
  5. Step 5: Solve for x
    x = 78,007,442,628.52/175,506.75
  6. Step 6: Final answer
    x = 444,469.76

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