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Finding the Third Proportional to 187,176 and 305,608.50

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Solution

The third proportional to 187,176 and 305,608.50 is: 498,977.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,176 : 305,608.50 = 305,608.50 : x
  2. Step 2: Convert to fraction form
    187,176/305,608.50 = 305,608.50/x
  3. Step 3: Cross multiply
    187,176x = 305,608.50 × 305,608.50
  4. Step 4: Simplify right side
    187,176x = 93,396,555,272.25
  5. Step 5: Solve for x
    x = 93,396,555,272.25/187,176
  6. Step 6: Final answer
    x = 498,977.19

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.