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Finding the Third Proportional to 146,468.25 and 221,273.44

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Solution

The third proportional to 146,468.25 and 221,273.44 is: 334,283.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,468.25 : 221,273.44 = 221,273.44 : x
  2. Step 2: Convert to fraction form
    146,468.25/221,273.44 = 221,273.44/x
  3. Step 3: Cross multiply
    146,468.25x = 221,273.44 × 221,273.44
  4. Step 4: Simplify right side
    146,468.25x = 48,961,934,143.07
  5. Step 5: Solve for x
    x = 48,961,934,143.07/146,468.25
  6. Step 6: Final answer
    x = 334,283.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.