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Finding the Third Proportional to 114,554 and 270,851

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Solution

The third proportional to 114,554 and 270,851 is: 640,398.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,554 : 270,851 = 270,851 : x
  2. Step 2: Convert to fraction form
    114,554/270,851 = 270,851/x
  3. Step 3: Cross multiply
    114,554x = 270,851 × 270,851
  4. Step 4: Simplify right side
    114,554x = 73,360,264,201
  5. Step 5: Solve for x
    x = 73,360,264,201/114,554
  6. Step 6: Final answer
    x = 640,398.98

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.