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Finding the Third Proportional to 146,794.50 and 323,937

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Solution

The third proportional to 146,794.50 and 323,937 is: 714,844.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,794.50 : 323,937 = 323,937 : x
  2. Step 2: Convert to fraction form
    146,794.50/323,937 = 323,937/x
  3. Step 3: Cross multiply
    146,794.50x = 323,937 × 323,937
  4. Step 4: Simplify right side
    146,794.50x = 104,935,179,969
  5. Step 5: Solve for x
    x = 104,935,179,969/146,794.50
  6. Step 6: Final answer
    x = 714,844.08

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.