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Finding the Third Proportional to 221,025 and 337,881

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Solution

The third proportional to 221,025 and 337,881 is: 516,518.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,025 : 337,881 = 337,881 : x
  2. Step 2: Convert to fraction form
    221,025/337,881 = 337,881/x
  3. Step 3: Cross multiply
    221,025x = 337,881 × 337,881
  4. Step 4: Simplify right side
    221,025x = 114,163,570,161
  5. Step 5: Solve for x
    x = 114,163,570,161/221,025
  6. Step 6: Final answer
    x = 516,518.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.