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Finding the Third Proportional to 105,170 and 228,083

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Solution

The third proportional to 105,170 and 228,083 is: 494,645.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,170 : 228,083 = 228,083 : x
  2. Step 2: Convert to fraction form
    105,170/228,083 = 228,083/x
  3. Step 3: Cross multiply
    105,170x = 228,083 × 228,083
  4. Step 4: Simplify right side
    105,170x = 52,021,854,889
  5. Step 5: Solve for x
    x = 52,021,854,889/105,170
  6. Step 6: Final answer
    x = 494,645.38

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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.