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Finding the Third Proportional to 209,181 and 430,746

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Solution

The third proportional to 209,181 and 430,746 is: 886,993.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,181 : 430,746 = 430,746 : x
  2. Step 2: Convert to fraction form
    209,181/430,746 = 430,746/x
  3. Step 3: Cross multiply
    209,181x = 430,746 × 430,746
  4. Step 4: Simplify right side
    209,181x = 185,542,116,516
  5. Step 5: Solve for x
    x = 185,542,116,516/209,181
  6. Step 6: Final answer
    x = 886,993.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.