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Finding the Third Proportional to 205,201 and 448,034

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Solution

The third proportional to 205,201 and 448,034 is: 978,233.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,201 : 448,034 = 448,034 : x
  2. Step 2: Convert to fraction form
    205,201/448,034 = 448,034/x
  3. Step 3: Cross multiply
    205,201x = 448,034 × 448,034
  4. Step 4: Simplify right side
    205,201x = 200,734,465,156
  5. Step 5: Solve for x
    x = 200,734,465,156/205,201
  6. Step 6: Final answer
    x = 978,233.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.