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Finding the Third Proportional to 154,858 and 236,727

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Solution

The third proportional to 154,858 and 236,727 is: 361,877.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,858 : 236,727 = 236,727 : x
  2. Step 2: Convert to fraction form
    154,858/236,727 = 236,727/x
  3. Step 3: Cross multiply
    154,858x = 236,727 × 236,727
  4. Step 4: Simplify right side
    154,858x = 56,039,672,529
  5. Step 5: Solve for x
    x = 56,039,672,529/154,858
  6. Step 6: Final answer
    x = 361,877.80

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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.