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Finding the Third Proportional to 146,733.75 and 223,184.25

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Solution

The third proportional to 146,733.75 and 223,184.25 is: 339,466.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,733.75 : 223,184.25 = 223,184.25 : x
  2. Step 2: Convert to fraction form
    146,733.75/223,184.25 = 223,184.25/x
  3. Step 3: Cross multiply
    146,733.75x = 223,184.25 × 223,184.25
  4. Step 4: Simplify right side
    146,733.75x = 49,811,209,448.06
  5. Step 5: Solve for x
    x = 49,811,209,448.06/146,733.75
  6. Step 6: Final answer
    x = 339,466.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.