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Finding the Third Proportional to 150,838 and 221,640

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Solution

The third proportional to 150,838 and 221,640 is: 325,675.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,838 : 221,640 = 221,640 : x
  2. Step 2: Convert to fraction form
    150,838/221,640 = 221,640/x
  3. Step 3: Cross multiply
    150,838x = 221,640 × 221,640
  4. Step 4: Simplify right side
    150,838x = 49,124,289,600
  5. Step 5: Solve for x
    x = 49,124,289,600/150,838
  6. Step 6: Final answer
    x = 325,675.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.