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Finding the Third Proportional to 186,714 and 268,407

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Solution

The third proportional to 186,714 and 268,407 is: 385,843.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,714 : 268,407 = 268,407 : x
  2. Step 2: Convert to fraction form
    186,714/268,407 = 268,407/x
  3. Step 3: Cross multiply
    186,714x = 268,407 × 268,407
  4. Step 4: Simplify right side
    186,714x = 72,042,317,649
  5. Step 5: Solve for x
    x = 72,042,317,649/186,714
  6. Step 6: Final answer
    x = 385,843.15

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.