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Finding the Third Proportional to 208,102 and 449,036

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Solution

The third proportional to 208,102 and 449,036 is: 968,915.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,102 : 449,036 = 449,036 : x
  2. Step 2: Convert to fraction form
    208,102/449,036 = 449,036/x
  3. Step 3: Cross multiply
    208,102x = 449,036 × 449,036
  4. Step 4: Simplify right side
    208,102x = 201,633,329,296
  5. Step 5: Solve for x
    x = 201,633,329,296/208,102
  6. Step 6: Final answer
    x = 968,915.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.