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Finding the Third Proportional to 223,841 and 347,109

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Solution

The third proportional to 223,841 and 347,109 is: 538,260.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,841 : 347,109 = 347,109 : x
  2. Step 2: Convert to fraction form
    223,841/347,109 = 347,109/x
  3. Step 3: Cross multiply
    223,841x = 347,109 × 347,109
  4. Step 4: Simplify right side
    223,841x = 120,484,657,881
  5. Step 5: Solve for x
    x = 120,484,657,881/223,841
  6. Step 6: Final answer
    x = 538,260.01

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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.