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Finding the Third Proportional to 94,430 and 146,218

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Solution

The third proportional to 94,430 and 146,218 is: 226,407.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,430 : 146,218 = 146,218 : x
  2. Step 2: Convert to fraction form
    94,430/146,218 = 146,218/x
  3. Step 3: Cross multiply
    94,430x = 146,218 × 146,218
  4. Step 4: Simplify right side
    94,430x = 21,379,703,524
  5. Step 5: Solve for x
    x = 21,379,703,524/94,430
  6. Step 6: Final answer
    x = 226,407.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.