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Finding the Third Proportional to 162,885.94 and 380,583.56

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Solution

The third proportional to 162,885.94 and 380,583.56 is: 889,234.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,885.94 : 380,583.56 = 380,583.56 : x
  2. Step 2: Convert to fraction form
    162,885.94/380,583.56 = 380,583.56/x
  3. Step 3: Cross multiply
    162,885.94x = 380,583.56 × 380,583.56
  4. Step 4: Simplify right side
    162,885.94x = 144,843,848,045.19
  5. Step 5: Solve for x
    x = 144,843,848,045.19/162,885.94
  6. Step 6: Final answer
    x = 889,234.82

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.