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Finding the Third Proportional to 154,928.25 and 238,213.13

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Solution

The third proportional to 154,928.25 and 238,213.13 is: 366,269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,928.25 : 238,213.13 = 238,213.13 : x
  2. Step 2: Convert to fraction form
    154,928.25/238,213.13 = 238,213.13/x
  3. Step 3: Cross multiply
    154,928.25x = 238,213.13 × 238,213.13
  4. Step 4: Simplify right side
    154,928.25x = 56,745,492,922.27
  5. Step 5: Solve for x
    x = 56,745,492,922.27/154,928.25
  6. Step 6: Final answer
    x = 366,269.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.