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Finding the Third Proportional to 190,726.50 and 280,250

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Solution

The third proportional to 190,726.50 and 280,250 is: 411,794.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,726.50 : 280,250 = 280,250 : x
  2. Step 2: Convert to fraction form
    190,726.50/280,250 = 280,250/x
  3. Step 3: Cross multiply
    190,726.50x = 280,250 × 280,250
  4. Step 4: Simplify right side
    190,726.50x = 78,540,062,500
  5. Step 5: Solve for x
    x = 78,540,062,500/190,726.50
  6. Step 6: Final answer
    x = 411,794.18

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.