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Finding the Third Proportional to 138,514.50 and 303,303

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Solution

The third proportional to 138,514.50 and 303,303 is: 664,137.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,514.50 : 303,303 = 303,303 : x
  2. Step 2: Convert to fraction form
    138,514.50/303,303 = 303,303/x
  3. Step 3: Cross multiply
    138,514.50x = 303,303 × 303,303
  4. Step 4: Simplify right side
    138,514.50x = 91,992,709,809
  5. Step 5: Solve for x
    x = 91,992,709,809/138,514.50
  6. Step 6: Final answer
    x = 664,137.76

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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.