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Finding the Third Proportional to 102,927 and 225,558

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Solution

The third proportional to 102,927 and 225,558 is: 494,296.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,927 : 225,558 = 225,558 : x
  2. Step 2: Convert to fraction form
    102,927/225,558 = 225,558/x
  3. Step 3: Cross multiply
    102,927x = 225,558 × 225,558
  4. Step 4: Simplify right side
    102,927x = 50,876,411,364
  5. Step 5: Solve for x
    x = 50,876,411,364/102,927
  6. Step 6: Final answer
    x = 494,296.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.