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Finding the Third Proportional to 103,842 and 227,232

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Solution

The third proportional to 103,842 and 227,232 is: 497,239.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,842 : 227,232 = 227,232 : x
  2. Step 2: Convert to fraction form
    103,842/227,232 = 227,232/x
  3. Step 3: Cross multiply
    103,842x = 227,232 × 227,232
  4. Step 4: Simplify right side
    103,842x = 51,634,381,824
  5. Step 5: Solve for x
    x = 51,634,381,824/103,842
  6. Step 6: Final answer
    x = 497,239.86

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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.