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Finding the Third Proportional to 208,308 and 446,140

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Solution

The third proportional to 208,308 and 446,140 is: 955,512.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,308 : 446,140 = 446,140 : x
  2. Step 2: Convert to fraction form
    208,308/446,140 = 446,140/x
  3. Step 3: Cross multiply
    208,308x = 446,140 × 446,140
  4. Step 4: Simplify right side
    208,308x = 199,040,899,600
  5. Step 5: Solve for x
    x = 199,040,899,600/208,308
  6. Step 6: Final answer
    x = 955,512.51

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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.