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Finding the Third Proportional to 206,883 and 301,333.50

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Solution

The third proportional to 206,883 and 301,333.50 is: 438,904.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,883 : 301,333.50 = 301,333.50 : x
  2. Step 2: Convert to fraction form
    206,883/301,333.50 = 301,333.50/x
  3. Step 3: Cross multiply
    206,883x = 301,333.50 × 301,333.50
  4. Step 4: Simplify right side
    206,883x = 90,801,878,222.25
  5. Step 5: Solve for x
    x = 90,801,878,222.25/206,883
  6. Step 6: Final answer
    x = 438,904.49

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.