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Finding the Third Proportional to 223,812 and 347,063

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Solution

The third proportional to 223,812 and 347,063 is: 538,187.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,812 : 347,063 = 347,063 : x
  2. Step 2: Convert to fraction form
    223,812/347,063 = 347,063/x
  3. Step 3: Cross multiply
    223,812x = 347,063 × 347,063
  4. Step 4: Simplify right side
    223,812x = 120,452,725,969
  5. Step 5: Solve for x
    x = 120,452,725,969/223,812
  6. Step 6: Final answer
    x = 538,187.08

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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.