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Finding the Third Proportional to 158,840 and 246,973

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Solution

The third proportional to 158,840 and 246,973 is: 384,006.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,840 : 246,973 = 246,973 : x
  2. Step 2: Convert to fraction form
    158,840/246,973 = 246,973/x
  3. Step 3: Cross multiply
    158,840x = 246,973 × 246,973
  4. Step 4: Simplify right side
    158,840x = 60,995,662,729
  5. Step 5: Solve for x
    x = 60,995,662,729/158,840
  6. Step 6: Final answer
    x = 384,006.94

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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.