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Finding the Third Proportional to 208,186 and 447,946

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Solution

The third proportional to 208,186 and 447,946 is: 963,828.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,186 : 447,946 = 447,946 : x
  2. Step 2: Convert to fraction form
    208,186/447,946 = 447,946/x
  3. Step 3: Cross multiply
    208,186x = 447,946 × 447,946
  4. Step 4: Simplify right side
    208,186x = 200,655,618,916
  5. Step 5: Solve for x
    x = 200,655,618,916/208,186
  6. Step 6: Final answer
    x = 963,828.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.