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Finding the Third Proportional to 114,284 and 255,064

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Solution

The third proportional to 114,284 and 255,064 is: 569,262.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,284 : 255,064 = 255,064 : x
  2. Step 2: Convert to fraction form
    114,284/255,064 = 255,064/x
  3. Step 3: Cross multiply
    114,284x = 255,064 × 255,064
  4. Step 4: Simplify right side
    114,284x = 65,057,644,096
  5. Step 5: Solve for x
    x = 65,057,644,096/114,284
  6. Step 6: Final answer
    x = 569,262.92

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.