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Finding the Third Proportional to 107,220 and 228,690

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Solution

The third proportional to 107,220 and 228,690 is: 487,773.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,220 : 228,690 = 228,690 : x
  2. Step 2: Convert to fraction form
    107,220/228,690 = 228,690/x
  3. Step 3: Cross multiply
    107,220x = 228,690 × 228,690
  4. Step 4: Simplify right side
    107,220x = 52,299,116,100
  5. Step 5: Solve for x
    x = 52,299,116,100/107,220
  6. Step 6: Final answer
    x = 487,773.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.