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Finding the Third Proportional to 146,792.25 and 226,020.38

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Solution

The third proportional to 146,792.25 and 226,020.38 is: 348,010.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,792.25 : 226,020.38 = 226,020.38 : x
  2. Step 2: Convert to fraction form
    146,792.25/226,020.38 = 226,020.38/x
  3. Step 3: Cross multiply
    146,792.25x = 226,020.38 × 226,020.38
  4. Step 4: Simplify right side
    146,792.25x = 51,085,209,915.14
  5. Step 5: Solve for x
    x = 51,085,209,915.14/146,792.25
  6. Step 6: Final answer
    x = 348,010.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.