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Finding the Third Proportional to 154,894.50 and 236,794.13

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Solution

The third proportional to 154,894.50 and 236,794.13 is: 361,997.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,894.50 : 236,794.13 = 236,794.13 : x
  2. Step 2: Convert to fraction form
    154,894.50/236,794.13 = 236,794.13/x
  3. Step 3: Cross multiply
    154,894.50x = 236,794.13 × 236,794.13
  4. Step 4: Simplify right side
    154,894.50x = 56,071,457,634.52
  5. Step 5: Solve for x
    x = 56,071,457,634.52/154,894.50
  6. Step 6: Final answer
    x = 361,997.73

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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.