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Finding the Third Proportional to 203,958 and 437,425.50

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Solution

The third proportional to 203,958 and 437,425.50 is: 938,139.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,958 : 437,425.50 = 437,425.50 : x
  2. Step 2: Convert to fraction form
    203,958/437,425.50 = 437,425.50/x
  3. Step 3: Cross multiply
    203,958x = 437,425.50 × 437,425.50
  4. Step 4: Simplify right side
    203,958x = 191,341,068,050.25
  5. Step 5: Solve for x
    x = 191,341,068,050.25/203,958
  6. Step 6: Final answer
    x = 938,139.56

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