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Finding the Third Proportional to 146,724 and 221,625

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Solution

The third proportional to 146,724 and 221,625 is: 334,762.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,724 : 221,625 = 221,625 : x
  2. Step 2: Convert to fraction form
    146,724/221,625 = 221,625/x
  3. Step 3: Cross multiply
    146,724x = 221,625 × 221,625
  4. Step 4: Simplify right side
    146,724x = 49,117,640,625
  5. Step 5: Solve for x
    x = 49,117,640,625/146,724
  6. Step 6: Final answer
    x = 334,762.14

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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.