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Finding the Third Proportional to 221,427 and 332,083

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Solution

The third proportional to 221,427 and 332,083 is: 498,038.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,427 : 332,083 = 332,083 : x
  2. Step 2: Convert to fraction form
    221,427/332,083 = 332,083/x
  3. Step 3: Cross multiply
    221,427x = 332,083 × 332,083
  4. Step 4: Simplify right side
    221,427x = 110,279,118,889
  5. Step 5: Solve for x
    x = 110,279,118,889/221,427
  6. Step 6: Final answer
    x = 498,038.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.