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Finding the Third Proportional to 190,744 and 280,270

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Solution

The third proportional to 190,744 and 280,270 is: 411,815.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,744 : 280,270 = 280,270 : x
  2. Step 2: Convert to fraction form
    190,744/280,270 = 280,270/x
  3. Step 3: Cross multiply
    190,744x = 280,270 × 280,270
  4. Step 4: Simplify right side
    190,744x = 78,551,272,900
  5. Step 5: Solve for x
    x = 78,551,272,900/190,744
  6. Step 6: Final answer
    x = 411,815.17

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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.