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Finding the Third Proportional to 190,566.75 and 280,141.13

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Solution

The third proportional to 190,566.75 and 280,141.13 is: 411,819.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,566.75 : 280,141.13 = 280,141.13 : x
  2. Step 2: Convert to fraction form
    190,566.75/280,141.13 = 280,141.13/x
  3. Step 3: Cross multiply
    190,566.75x = 280,141.13 × 280,141.13
  4. Step 4: Simplify right side
    190,566.75x = 78,479,049,916.27
  5. Step 5: Solve for x
    x = 78,479,049,916.27/190,566.75
  6. Step 6: Final answer
    x = 411,819.22

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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.