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Finding the Third Proportional to 203,826.38 and 336,875.63

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Solution

The third proportional to 203,826.38 and 336,875.63 is: 556,773.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,826.38 : 336,875.63 = 336,875.63 : x
  2. Step 2: Convert to fraction form
    203,826.38/336,875.63 = 336,875.63/x
  3. Step 3: Cross multiply
    203,826.38x = 336,875.63 × 336,875.63
  4. Step 4: Simplify right side
    203,826.38x = 113,485,186,719.14
  5. Step 5: Solve for x
    x = 113,485,186,719.14/203,826.38
  6. Step 6: Final answer
    x = 556,773.81

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.