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Finding the Third Proportional to 146,468.25 and 221,274.28

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Solution

The third proportional to 146,468.25 and 221,274.28 is: 334,286.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,468.25 : 221,274.28 = 221,274.28 : x
  2. Step 2: Convert to fraction form
    146,468.25/221,274.28 = 221,274.28/x
  3. Step 3: Cross multiply
    146,468.25x = 221,274.28 × 221,274.28
  4. Step 4: Simplify right side
    146,468.25x = 48,962,307,542.70
  5. Step 5: Solve for x
    x = 48,962,307,542.70/146,468.25
  6. Step 6: Final answer
    x = 334,286.15

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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.