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Finding the Third Proportional to 190,696 and 280,536

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Solution

The third proportional to 190,696 and 280,536 is: 412,701.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,696 : 280,536 = 280,536 : x
  2. Step 2: Convert to fraction form
    190,696/280,536 = 280,536/x
  3. Step 3: Cross multiply
    190,696x = 280,536 × 280,536
  4. Step 4: Simplify right side
    190,696x = 78,700,447,296
  5. Step 5: Solve for x
    x = 78,700,447,296/190,696
  6. Step 6: Final answer
    x = 412,701.09

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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.