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Finding the Third Proportional to 196,180.50 and 303,018

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Solution

The third proportional to 196,180.50 and 303,018 is: 468,037.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,180.50 : 303,018 = 303,018 : x
  2. Step 2: Convert to fraction form
    196,180.50/303,018 = 303,018/x
  3. Step 3: Cross multiply
    196,180.50x = 303,018 × 303,018
  4. Step 4: Simplify right side
    196,180.50x = 91,819,908,324
  5. Step 5: Solve for x
    x = 91,819,908,324/196,180.50
  6. Step 6: Final answer
    x = 468,037.90

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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.