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Finding the Third Proportional to 146,194.88 and 303,881.63

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Solution

The third proportional to 146,194.88 and 303,881.63 is: 631,650.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,194.88 : 303,881.63 = 303,881.63 : x
  2. Step 2: Convert to fraction form
    146,194.88/303,881.63 = 303,881.63/x
  3. Step 3: Cross multiply
    146,194.88x = 303,881.63 × 303,881.63
  4. Step 4: Simplify right side
    146,194.88x = 92,344,042,012.64
  5. Step 5: Solve for x
    x = 92,344,042,012.64/146,194.88
  6. Step 6: Final answer
    x = 631,650.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.