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Finding the Third Proportional to 181,740 and 370,896

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Solution

The third proportional to 181,740 and 370,896 is: 756,926.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,740 : 370,896 = 370,896 : x
  2. Step 2: Convert to fraction form
    181,740/370,896 = 370,896/x
  3. Step 3: Cross multiply
    181,740x = 370,896 × 370,896
  4. Step 4: Simplify right side
    181,740x = 137,563,842,816
  5. Step 5: Solve for x
    x = 137,563,842,816/181,740
  6. Step 6: Final answer
    x = 756,926.61

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.