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Finding the Third Proportional to 146,400.75 and 214,984.13

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Solution

The third proportional to 146,400.75 and 214,984.13 is: 315,696.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,400.75 : 214,984.13 = 214,984.13 : x
  2. Step 2: Convert to fraction form
    146,400.75/214,984.13 = 214,984.13/x
  3. Step 3: Cross multiply
    146,400.75x = 214,984.13 × 214,984.13
  4. Step 4: Simplify right side
    146,400.75x = 46,218,174,002.02
  5. Step 5: Solve for x
    x = 46,218,174,002.02/146,400.75
  6. Step 6: Final answer
    x = 315,696.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.