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Finding the Third Proportional to 223,206 and 340,029

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Solution

The third proportional to 223,206 and 340,029 is: 517,995.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,206 : 340,029 = 340,029 : x
  2. Step 2: Convert to fraction form
    223,206/340,029 = 340,029/x
  3. Step 3: Cross multiply
    223,206x = 340,029 × 340,029
  4. Step 4: Simplify right side
    223,206x = 115,619,720,841
  5. Step 5: Solve for x
    x = 115,619,720,841/223,206
  6. Step 6: Final answer
    x = 517,995.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.