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Finding the Third Proportional to 105,406 and 228,447

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Solution

The third proportional to 105,406 and 228,447 is: 495,114.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,406 : 228,447 = 228,447 : x
  2. Step 2: Convert to fraction form
    105,406/228,447 = 228,447/x
  3. Step 3: Cross multiply
    105,406x = 228,447 × 228,447
  4. Step 4: Simplify right side
    105,406x = 52,188,031,809
  5. Step 5: Solve for x
    x = 52,188,031,809/105,406
  6. Step 6: Final answer
    x = 495,114.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.