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Finding the Third Proportional to 155,890 and 222,935

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Solution

The third proportional to 155,890 and 222,935 is: 318,814.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,890 : 222,935 = 222,935 : x
  2. Step 2: Convert to fraction form
    155,890/222,935 = 222,935/x
  3. Step 3: Cross multiply
    155,890x = 222,935 × 222,935
  4. Step 4: Simplify right side
    155,890x = 49,700,014,225
  5. Step 5: Solve for x
    x = 49,700,014,225/155,890
  6. Step 6: Final answer
    x = 318,814.64

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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.