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Finding the Third Proportional to 155,906 and 251,088

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Solution

The third proportional to 155,906 and 251,088 is: 404,379.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,906 : 251,088 = 251,088 : x
  2. Step 2: Convert to fraction form
    155,906/251,088 = 251,088/x
  3. Step 3: Cross multiply
    155,906x = 251,088 × 251,088
  4. Step 4: Simplify right side
    155,906x = 63,045,183,744
  5. Step 5: Solve for x
    x = 63,045,183,744/155,906
  6. Step 6: Final answer
    x = 404,379.46

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.