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Finding the Third Proportional to 206,616 and 448,000

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Solution

The third proportional to 206,616 and 448,000 is: 971,386.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,616 : 448,000 = 448,000 : x
  2. Step 2: Convert to fraction form
    206,616/448,000 = 448,000/x
  3. Step 3: Cross multiply
    206,616x = 448,000 × 448,000
  4. Step 4: Simplify right side
    206,616x = 200,704,000,000
  5. Step 5: Solve for x
    x = 200,704,000,000/206,616
  6. Step 6: Final answer
    x = 971,386.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.