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Finding the Third Proportional to 154,493.63 and 338,442.75

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Solution

The third proportional to 154,493.63 and 338,442.75 is: 741,412.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,493.63 : 338,442.75 = 338,442.75 : x
  2. Step 2: Convert to fraction form
    154,493.63/338,442.75 = 338,442.75/x
  3. Step 3: Cross multiply
    154,493.63x = 338,442.75 × 338,442.75
  4. Step 4: Simplify right side
    154,493.63x = 114,543,495,027.56
  5. Step 5: Solve for x
    x = 114,543,495,027.56/154,493.63
  6. Step 6: Final answer
    x = 741,412.44

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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.