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Finding the Third Proportional to 133,143 and 289,794

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Solution

The third proportional to 133,143 and 289,794 is: 630,754.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,143 : 289,794 = 289,794 : x
  2. Step 2: Convert to fraction form
    133,143/289,794 = 289,794/x
  3. Step 3: Cross multiply
    133,143x = 289,794 × 289,794
  4. Step 4: Simplify right side
    133,143x = 83,980,562,436
  5. Step 5: Solve for x
    x = 83,980,562,436/133,143
  6. Step 6: Final answer
    x = 630,754.62

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.