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Finding the Third Proportional to 190,818 and 280,392

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Solution

The third proportional to 190,818 and 280,392 is: 412,013.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,818 : 280,392 = 280,392 : x
  2. Step 2: Convert to fraction form
    190,818/280,392 = 280,392/x
  3. Step 3: Cross multiply
    190,818x = 280,392 × 280,392
  4. Step 4: Simplify right side
    190,818x = 78,619,673,664
  5. Step 5: Solve for x
    x = 78,619,673,664/190,818
  6. Step 6: Final answer
    x = 412,013.93

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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.