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Finding the Third Proportional to 190,726.50 and 280,251

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Solution

The third proportional to 190,726.50 and 280,251 is: 411,797.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,726.50 : 280,251 = 280,251 : x
  2. Step 2: Convert to fraction form
    190,726.50/280,251 = 280,251/x
  3. Step 3: Cross multiply
    190,726.50x = 280,251 × 280,251
  4. Step 4: Simplify right side
    190,726.50x = 78,540,623,001
  5. Step 5: Solve for x
    x = 78,540,623,001/190,726.50
  6. Step 6: Final answer
    x = 411,797.12

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Why These Related Problems?

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