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Finding the Third Proportional to 171,451.69 and 265,857.19

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Solution

The third proportional to 171,451.69 and 265,857.19 is: 412,244.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,451.69 : 265,857.19 = 265,857.19 : x
  2. Step 2: Convert to fraction form
    171,451.69/265,857.19 = 265,857.19/x
  3. Step 3: Cross multiply
    171,451.69x = 265,857.19 × 265,857.19
  4. Step 4: Simplify right side
    171,451.69x = 70,680,044,145.41
  5. Step 5: Solve for x
    x = 70,680,044,145.41/171,451.69
  6. Step 6: Final answer
    x = 412,244.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.