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Finding the Third Proportional to 208,321 and 446,164

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Solution

The third proportional to 208,321 and 446,164 is: 955,555.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,321 : 446,164 = 446,164 : x
  2. Step 2: Convert to fraction form
    208,321/446,164 = 446,164/x
  3. Step 3: Cross multiply
    208,321x = 446,164 × 446,164
  4. Step 4: Simplify right side
    208,321x = 199,062,314,896
  5. Step 5: Solve for x
    x = 199,062,314,896/208,321
  6. Step 6: Final answer
    x = 955,555.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.