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Finding the Third Proportional to 190,840.50 and 280,561.50

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Solution

The third proportional to 190,840.50 and 280,561.50 is: 412,463.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,840.50 : 280,561.50 = 280,561.50 : x
  2. Step 2: Convert to fraction form
    190,840.50/280,561.50 = 280,561.50/x
  3. Step 3: Cross multiply
    190,840.50x = 280,561.50 × 280,561.50
  4. Step 4: Simplify right side
    190,840.50x = 78,714,755,282.25
  5. Step 5: Solve for x
    x = 78,714,755,282.25/190,840.50
  6. Step 6: Final answer
    x = 412,463.58

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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.