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Finding the Third Proportional to 186,563 and 408,118

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Solution

The third proportional to 186,563 and 408,118 is: 892,783.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,563 : 408,118 = 408,118 : x
  2. Step 2: Convert to fraction form
    186,563/408,118 = 408,118/x
  3. Step 3: Cross multiply
    186,563x = 408,118 × 408,118
  4. Step 4: Simplify right side
    186,563x = 166,560,301,924
  5. Step 5: Solve for x
    x = 166,560,301,924/186,563
  6. Step 6: Final answer
    x = 892,783.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.