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Finding the Third Proportional to 178,994 and 250,859

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Solution

The third proportional to 178,994 and 250,859 is: 351,577.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,994 : 250,859 = 250,859 : x
  2. Step 2: Convert to fraction form
    178,994/250,859 = 250,859/x
  3. Step 3: Cross multiply
    178,994x = 250,859 × 250,859
  4. Step 4: Simplify right side
    178,994x = 62,930,237,881
  5. Step 5: Solve for x
    x = 62,930,237,881/178,994
  6. Step 6: Final answer
    x = 351,577.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.