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Finding the Third Proportional to 188,234.50 and 405,791

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Solution

The third proportional to 188,234.50 and 405,791 is: 874,793.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,234.50 : 405,791 = 405,791 : x
  2. Step 2: Convert to fraction form
    188,234.50/405,791 = 405,791/x
  3. Step 3: Cross multiply
    188,234.50x = 405,791 × 405,791
  4. Step 4: Simplify right side
    188,234.50x = 164,666,335,681
  5. Step 5: Solve for x
    x = 164,666,335,681/188,234.50
  6. Step 6: Final answer
    x = 874,793.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.