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Finding the Third Proportional to 223,823 and 347,080

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Solution

The third proportional to 223,823 and 347,080 is: 538,213.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,823 : 347,080 = 347,080 : x
  2. Step 2: Convert to fraction form
    223,823/347,080 = 347,080/x
  3. Step 3: Cross multiply
    223,823x = 347,080 × 347,080
  4. Step 4: Simplify right side
    223,823x = 120,464,526,400
  5. Step 5: Solve for x
    x = 120,464,526,400/223,823
  6. Step 6: Final answer
    x = 538,213.35

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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.