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Finding the Third Proportional to 179,217 and 259,065

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Solution

The third proportional to 179,217 and 259,065 is: 374,488.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,217 : 259,065 = 259,065 : x
  2. Step 2: Convert to fraction form
    179,217/259,065 = 259,065/x
  3. Step 3: Cross multiply
    179,217x = 259,065 × 259,065
  4. Step 4: Simplify right side
    179,217x = 67,114,674,225
  5. Step 5: Solve for x
    x = 67,114,674,225/179,217
  6. Step 6: Final answer
    x = 374,488.33

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.