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Finding the Third Proportional to 146,946.66 and 219,850.45

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Solution

The third proportional to 146,946.66 and 219,850.45 is: 328,923.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,946.66 : 219,850.45 = 219,850.45 : x
  2. Step 2: Convert to fraction form
    146,946.66/219,850.45 = 219,850.45/x
  3. Step 3: Cross multiply
    146,946.66x = 219,850.45 × 219,850.45
  4. Step 4: Simplify right side
    146,946.66x = 48,334,221,739.27
  5. Step 5: Solve for x
    x = 48,334,221,739.27/146,946.66
  6. Step 6: Final answer
    x = 328,923.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.