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Finding the Third Proportional to 181,101.50 and 395,858

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Solution

The third proportional to 181,101.50 and 395,858 is: 865,280.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,101.50 : 395,858 = 395,858 : x
  2. Step 2: Convert to fraction form
    181,101.50/395,858 = 395,858/x
  3. Step 3: Cross multiply
    181,101.50x = 395,858 × 395,858
  4. Step 4: Simplify right side
    181,101.50x = 156,703,556,164
  5. Step 5: Solve for x
    x = 156,703,556,164/181,101.50
  6. Step 6: Final answer
    x = 865,280.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.