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Finding the Third Proportional to 158,858 and 246,999

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Solution

The third proportional to 158,858 and 246,999 is: 384,044.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,858 : 246,999 = 246,999 : x
  2. Step 2: Convert to fraction form
    158,858/246,999 = 246,999/x
  3. Step 3: Cross multiply
    158,858x = 246,999 × 246,999
  4. Step 4: Simplify right side
    158,858x = 61,008,506,001
  5. Step 5: Solve for x
    x = 61,008,506,001/158,858
  6. Step 6: Final answer
    x = 384,044.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.