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Finding the Third Proportional to 224,780 and 337,056

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Solution

The third proportional to 224,780 and 337,056 is: 505,413.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,780 : 337,056 = 337,056 : x
  2. Step 2: Convert to fraction form
    224,780/337,056 = 337,056/x
  3. Step 3: Cross multiply
    224,780x = 337,056 × 337,056
  4. Step 4: Simplify right side
    224,780x = 113,606,747,136
  5. Step 5: Solve for x
    x = 113,606,747,136/224,780
  6. Step 6: Final answer
    x = 505,413.06

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