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Finding the Third Proportional to 202,090.78 and 336,800.53

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Solution

The third proportional to 202,090.78 and 336,800.53 is: 561,305.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,090.78 : 336,800.53 = 336,800.53 : x
  2. Step 2: Convert to fraction form
    202,090.78/336,800.53 = 336,800.53/x
  3. Step 3: Cross multiply
    202,090.78x = 336,800.53 × 336,800.53
  4. Step 4: Simplify right side
    202,090.78x = 113,434,597,850.28
  5. Step 5: Solve for x
    x = 113,434,597,850.28/202,090.78
  6. Step 6: Final answer
    x = 561,305.16

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.