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Finding the Third Proportional to 154,249.50 and 338,043

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Solution

The third proportional to 154,249.50 and 338,043 is: 740,832.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,249.50 : 338,043 = 338,043 : x
  2. Step 2: Convert to fraction form
    154,249.50/338,043 = 338,043/x
  3. Step 3: Cross multiply
    154,249.50x = 338,043 × 338,043
  4. Step 4: Simplify right side
    154,249.50x = 114,273,069,849
  5. Step 5: Solve for x
    x = 114,273,069,849/154,249.50
  6. Step 6: Final answer
    x = 740,832.68

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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.