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Finding the Third Proportional to 114,199.50 and 181,859.25

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Solution

The third proportional to 114,199.50 and 181,859.25 is: 289,605.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,199.50 : 181,859.25 = 181,859.25 : x
  2. Step 2: Convert to fraction form
    114,199.50/181,859.25 = 181,859.25/x
  3. Step 3: Cross multiply
    114,199.50x = 181,859.25 × 181,859.25
  4. Step 4: Simplify right side
    114,199.50x = 33,072,786,810.56
  5. Step 5: Solve for x
    x = 33,072,786,810.56/114,199.50
  6. Step 6: Final answer
    x = 289,605.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.