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Finding the Third Proportional to 103,836 and 227,328

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Solution

The third proportional to 103,836 and 227,328 is: 497,688.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,836 : 227,328 = 227,328 : x
  2. Step 2: Convert to fraction form
    103,836/227,328 = 227,328/x
  3. Step 3: Cross multiply
    103,836x = 227,328 × 227,328
  4. Step 4: Simplify right side
    103,836x = 51,678,019,584
  5. Step 5: Solve for x
    x = 51,678,019,584/103,836
  6. Step 6: Final answer
    x = 497,688.85

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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.