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Finding the Third Proportional to 175,508.75 and 342,269.50

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Solution

The third proportional to 175,508.75 and 342,269.50 is: 667,479.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,508.75 : 342,269.50 = 342,269.50 : x
  2. Step 2: Convert to fraction form
    175,508.75/342,269.50 = 342,269.50/x
  3. Step 3: Cross multiply
    175,508.75x = 342,269.50 × 342,269.50
  4. Step 4: Simplify right side
    175,508.75x = 117,148,410,630.25
  5. Step 5: Solve for x
    x = 117,148,410,630.25/175,508.75
  6. Step 6: Final answer
    x = 667,479.03

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.