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Finding the Third Proportional to 224,938 and 339,731

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Solution

The third proportional to 224,938 and 339,731 is: 513,106.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,938 : 339,731 = 339,731 : x
  2. Step 2: Convert to fraction form
    224,938/339,731 = 339,731/x
  3. Step 3: Cross multiply
    224,938x = 339,731 × 339,731
  4. Step 4: Simplify right side
    224,938x = 115,417,152,361
  5. Step 5: Solve for x
    x = 115,417,152,361/224,938
  6. Step 6: Final answer
    x = 513,106.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.