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Finding the Third Proportional to 199,052 and 303,762

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Solution

The third proportional to 199,052 and 303,762 is: 463,554.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,052 : 303,762 = 303,762 : x
  2. Step 2: Convert to fraction form
    199,052/303,762 = 303,762/x
  3. Step 3: Cross multiply
    199,052x = 303,762 × 303,762
  4. Step 4: Simplify right side
    199,052x = 92,271,352,644
  5. Step 5: Solve for x
    x = 92,271,352,644/199,052
  6. Step 6: Final answer
    x = 463,554.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.