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Finding the Third Proportional to 156,007 and 222,935

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Solution

The third proportional to 156,007 and 222,935 is: 318,575.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,007 : 222,935 = 222,935 : x
  2. Step 2: Convert to fraction form
    156,007/222,935 = 222,935/x
  3. Step 3: Cross multiply
    156,007x = 222,935 × 222,935
  4. Step 4: Simplify right side
    156,007x = 49,700,014,225
  5. Step 5: Solve for x
    x = 49,700,014,225/156,007
  6. Step 6: Final answer
    x = 318,575.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.