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Finding the Third Proportional to 199,329 and 302,682

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Solution

The third proportional to 199,329 and 302,682 is: 459,624.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,329 : 302,682 = 302,682 : x
  2. Step 2: Convert to fraction form
    199,329/302,682 = 302,682/x
  3. Step 3: Cross multiply
    199,329x = 302,682 × 302,682
  4. Step 4: Simplify right side
    199,329x = 91,616,393,124
  5. Step 5: Solve for x
    x = 91,616,393,124/199,329
  6. Step 6: Final answer
    x = 459,624.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.