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Finding the Third Proportional to 168,010 and 259,949

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Solution

The third proportional to 168,010 and 259,949 is: 402,199.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,010 : 259,949 = 259,949 : x
  2. Step 2: Convert to fraction form
    168,010/259,949 = 259,949/x
  3. Step 3: Cross multiply
    168,010x = 259,949 × 259,949
  4. Step 4: Simplify right side
    168,010x = 67,573,482,601
  5. Step 5: Solve for x
    x = 67,573,482,601/168,010
  6. Step 6: Final answer
    x = 402,199.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.