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Finding the Third Proportional to 150,670 and 221,083

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Solution

The third proportional to 150,670 and 221,083 is: 324,402.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,670 : 221,083 = 221,083 : x
  2. Step 2: Convert to fraction form
    150,670/221,083 = 221,083/x
  3. Step 3: Cross multiply
    150,670x = 221,083 × 221,083
  4. Step 4: Simplify right side
    150,670x = 48,877,692,889
  5. Step 5: Solve for x
    x = 48,877,692,889/150,670
  6. Step 6: Final answer
    x = 324,402.29

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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.