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Finding the Third Proportional to 103,734 and 226,395

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Solution

The third proportional to 103,734 and 226,395 is: 494,097.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,734 : 226,395 = 226,395 : x
  2. Step 2: Convert to fraction form
    103,734/226,395 = 226,395/x
  3. Step 3: Cross multiply
    103,734x = 226,395 × 226,395
  4. Step 4: Simplify right side
    103,734x = 51,254,696,025
  5. Step 5: Solve for x
    x = 51,254,696,025/103,734
  6. Step 6: Final answer
    x = 494,097.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.