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Finding the Third Proportional to 190,884 and 407,046

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Solution

The third proportional to 190,884 and 407,046 is: 867,995.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,884 : 407,046 = 407,046 : x
  2. Step 2: Convert to fraction form
    190,884/407,046 = 407,046/x
  3. Step 3: Cross multiply
    190,884x = 407,046 × 407,046
  4. Step 4: Simplify right side
    190,884x = 165,686,446,116
  5. Step 5: Solve for x
    x = 165,686,446,116/190,884
  6. Step 6: Final answer
    x = 867,995.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.