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Finding the Third Proportional to 158,838 and 246,970

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Solution

The third proportional to 158,838 and 246,970 is: 384,002.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,838 : 246,970 = 246,970 : x
  2. Step 2: Convert to fraction form
    158,838/246,970 = 246,970/x
  3. Step 3: Cross multiply
    158,838x = 246,970 × 246,970
  4. Step 4: Simplify right side
    158,838x = 60,994,180,900
  5. Step 5: Solve for x
    x = 60,994,180,900/158,838
  6. Step 6: Final answer
    x = 384,002.45

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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.