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Finding the Third Proportional to 146,728.13 and 233,224.31

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Solution

The third proportional to 146,728.13 and 233,224.31 is: 370,709.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,728.13 : 233,224.31 = 233,224.31 : x
  2. Step 2: Convert to fraction form
    146,728.13/233,224.31 = 233,224.31/x
  3. Step 3: Cross multiply
    146,728.13x = 233,224.31 × 233,224.31
  4. Step 4: Simplify right side
    146,728.13x = 54,393,579,941.10
  5. Step 5: Solve for x
    x = 54,393,579,941.10/146,728.13
  6. Step 6: Final answer
    x = 370,709.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.