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Finding the Third Proportional to 174,561.75 and 266,918.63

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Solution

The third proportional to 174,561.75 and 266,918.63 is: 408,139.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,561.75 : 266,918.63 = 266,918.63 : x
  2. Step 2: Convert to fraction form
    174,561.75/266,918.63 = 266,918.63/x
  3. Step 3: Cross multiply
    174,561.75x = 266,918.63 × 266,918.63
  4. Step 4: Simplify right side
    174,561.75x = 71,245,552,371.89
  5. Step 5: Solve for x
    x = 71,245,552,371.89/174,561.75
  6. Step 6: Final answer
    x = 408,139.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.