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Finding the Third Proportional to 223,833 and 347,097

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Solution

The third proportional to 223,833 and 347,097 is: 538,242.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,833 : 347,097 = 347,097 : x
  2. Step 2: Convert to fraction form
    223,833/347,097 = 347,097/x
  3. Step 3: Cross multiply
    223,833x = 347,097 × 347,097
  4. Step 4: Simplify right side
    223,833x = 120,476,327,409
  5. Step 5: Solve for x
    x = 120,476,327,409/223,833
  6. Step 6: Final answer
    x = 538,242.03

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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.