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Finding the Third Proportional to 103,827 and 227,310

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Solution

The third proportional to 103,827 and 227,310 is: 497,653.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,827 : 227,310 = 227,310 : x
  2. Step 2: Convert to fraction form
    103,827/227,310 = 227,310/x
  3. Step 3: Cross multiply
    103,827x = 227,310 × 227,310
  4. Step 4: Simplify right side
    103,827x = 51,669,836,100
  5. Step 5: Solve for x
    x = 51,669,836,100/103,827
  6. Step 6: Final answer
    x = 497,653.17

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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.