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Finding the Third Proportional to 159,878 and 246,033

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Solution

The third proportional to 159,878 and 246,033 is: 378,615.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,878 : 246,033 = 246,033 : x
  2. Step 2: Convert to fraction form
    159,878/246,033 = 246,033/x
  3. Step 3: Cross multiply
    159,878x = 246,033 × 246,033
  4. Step 4: Simplify right side
    159,878x = 60,532,237,089
  5. Step 5: Solve for x
    x = 60,532,237,089/159,878
  6. Step 6: Final answer
    x = 378,615.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.