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Finding the Third Proportional to 154,300 and 338,144

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Solution

The third proportional to 154,300 and 338,144 is: 741,032.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,300 : 338,144 = 338,144 : x
  2. Step 2: Convert to fraction form
    154,300/338,144 = 338,144/x
  3. Step 3: Cross multiply
    154,300x = 338,144 × 338,144
  4. Step 4: Simplify right side
    154,300x = 114,341,364,736
  5. Step 5: Solve for x
    x = 114,341,364,736/154,300
  6. Step 6: Final answer
    x = 741,032.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.