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Finding the Third Proportional to 179,866.50 and 259,854

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Solution

The third proportional to 179,866.50 and 259,854 is: 375,412.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,866.50 : 259,854 = 259,854 : x
  2. Step 2: Convert to fraction form
    179,866.50/259,854 = 259,854/x
  3. Step 3: Cross multiply
    179,866.50x = 259,854 × 259,854
  4. Step 4: Simplify right side
    179,866.50x = 67,524,101,316
  5. Step 5: Solve for x
    x = 67,524,101,316/179,866.50
  6. Step 6: Final answer
    x = 375,412.33

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.