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Finding the Third Proportional to 154,920 and 236,838

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Solution

The third proportional to 154,920 and 236,838 is: 362,072.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,920 : 236,838 = 236,838 : x
  2. Step 2: Convert to fraction form
    154,920/236,838 = 236,838/x
  3. Step 3: Cross multiply
    154,920x = 236,838 × 236,838
  4. Step 4: Simplify right side
    154,920x = 56,092,238,244
  5. Step 5: Solve for x
    x = 56,092,238,244/154,920
  6. Step 6: Final answer
    x = 362,072.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.