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Finding the Third Proportional to 107,285 and 228,430

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Solution

The third proportional to 107,285 and 228,430 is: 486,370.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,285 : 228,430 = 228,430 : x
  2. Step 2: Convert to fraction form
    107,285/228,430 = 228,430/x
  3. Step 3: Cross multiply
    107,285x = 228,430 × 228,430
  4. Step 4: Simplify right side
    107,285x = 52,180,264,900
  5. Step 5: Solve for x
    x = 52,180,264,900/107,285
  6. Step 6: Final answer
    x = 486,370.55

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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.