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Finding the Third Proportional to 171,451.69 and 266,717.81

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Solution

The third proportional to 171,451.69 and 266,717.81 is: 414,918.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,451.69 : 266,717.81 = 266,717.81 : x
  2. Step 2: Convert to fraction form
    171,451.69/266,717.81 = 266,717.81/x
  3. Step 3: Cross multiply
    171,451.69x = 266,717.81 × 266,717.81
  4. Step 4: Simplify right side
    171,451.69x = 71,138,391,504.79
  5. Step 5: Solve for x
    x = 71,138,391,504.79/171,451.69
  6. Step 6: Final answer
    x = 414,918.00

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.