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Finding the Third Proportional to 190,886 and 407,050

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Solution

The third proportional to 190,886 and 407,050 is: 868,003.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,886 : 407,050 = 407,050 : x
  2. Step 2: Convert to fraction form
    190,886/407,050 = 407,050/x
  3. Step 3: Cross multiply
    190,886x = 407,050 × 407,050
  4. Step 4: Simplify right side
    190,886x = 165,689,702,500
  5. Step 5: Solve for x
    x = 165,689,702,500/190,886
  6. Step 6: Final answer
    x = 868,003.43

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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.