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Finding the Third Proportional to 190,393 and 407,029

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Solution

The third proportional to 190,393 and 407,029 is: 870,161.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,393 : 407,029 = 407,029 : x
  2. Step 2: Convert to fraction form
    190,393/407,029 = 407,029/x
  3. Step 3: Cross multiply
    190,393x = 407,029 × 407,029
  4. Step 4: Simplify right side
    190,393x = 165,672,606,841
  5. Step 5: Solve for x
    x = 165,672,606,841/190,393
  6. Step 6: Final answer
    x = 870,161.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.