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Finding the Third Proportional to 224,323 and 344,799

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Solution

The third proportional to 224,323 and 344,799 is: 529,978.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,323 : 344,799 = 344,799 : x
  2. Step 2: Convert to fraction form
    224,323/344,799 = 344,799/x
  3. Step 3: Cross multiply
    224,323x = 344,799 × 344,799
  4. Step 4: Simplify right side
    224,323x = 118,886,350,401
  5. Step 5: Solve for x
    x = 118,886,350,401/224,323
  6. Step 6: Final answer
    x = 529,978.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.