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Finding the Third Proportional to 168,006 and 259,943

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Solution

The third proportional to 168,006 and 259,943 is: 402,190.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,006 : 259,943 = 259,943 : x
  2. Step 2: Convert to fraction form
    168,006/259,943 = 259,943/x
  3. Step 3: Cross multiply
    168,006x = 259,943 × 259,943
  4. Step 4: Simplify right side
    168,006x = 67,570,363,249
  5. Step 5: Solve for x
    x = 67,570,363,249/168,006
  6. Step 6: Final answer
    x = 402,190.18

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