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Finding the Third Proportional to 206,064 and 278,640

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Solution

The third proportional to 206,064 and 278,640 is: 376,777.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,064 : 278,640 = 278,640 : x
  2. Step 2: Convert to fraction form
    206,064/278,640 = 278,640/x
  3. Step 3: Cross multiply
    206,064x = 278,640 × 278,640
  4. Step 4: Simplify right side
    206,064x = 77,640,249,600
  5. Step 5: Solve for x
    x = 77,640,249,600/206,064
  6. Step 6: Final answer
    x = 376,777.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.