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Finding the Third Proportional to 254,976 and 375,021

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Solution

The third proportional to 254,976 and 375,021 is: 551,584.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,976 : 375,021 = 375,021 : x
  2. Step 2: Convert to fraction form
    254,976/375,021 = 375,021/x
  3. Step 3: Cross multiply
    254,976x = 375,021 × 375,021
  4. Step 4: Simplify right side
    254,976x = 140,640,750,441
  5. Step 5: Solve for x
    x = 140,640,750,441/254,976
  6. Step 6: Final answer
    x = 551,584.27

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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.