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Finding the Third Proportional to 221,024.25 and 337,880.25

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Solution

The third proportional to 221,024.25 and 337,880.25 is: 516,518.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,024.25 : 337,880.25 = 337,880.25 : x
  2. Step 2: Convert to fraction form
    221,024.25/337,880.25 = 337,880.25/x
  3. Step 3: Cross multiply
    221,024.25x = 337,880.25 × 337,880.25
  4. Step 4: Simplify right side
    221,024.25x = 114,163,063,340.06
  5. Step 5: Solve for x
    x = 114,163,063,340.06/221,024.25
  6. Step 6: Final answer
    x = 516,518.27

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