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Finding the Third Proportional to 103,627 and 227,009

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Solution

The third proportional to 103,627 and 227,009 is: 497,294.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,627 : 227,009 = 227,009 : x
  2. Step 2: Convert to fraction form
    103,627/227,009 = 227,009/x
  3. Step 3: Cross multiply
    103,627x = 227,009 × 227,009
  4. Step 4: Simplify right side
    103,627x = 51,533,086,081
  5. Step 5: Solve for x
    x = 51,533,086,081/103,627
  6. Step 6: Final answer
    x = 497,294.01

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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.