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Finding the Third Proportional to 223,839 and 347,106

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Solution

The third proportional to 223,839 and 347,106 is: 538,255.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,839 : 347,106 = 347,106 : x
  2. Step 2: Convert to fraction form
    223,839/347,106 = 347,106/x
  3. Step 3: Cross multiply
    223,839x = 347,106 × 347,106
  4. Step 4: Simplify right side
    223,839x = 120,482,575,236
  5. Step 5: Solve for x
    x = 120,482,575,236/223,839
  6. Step 6: Final answer
    x = 538,255.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.