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Finding the Third Proportional to 181,738 and 370,862

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Solution

The third proportional to 181,738 and 370,862 is: 756,796.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,738 : 370,862 = 370,862 : x
  2. Step 2: Convert to fraction form
    181,738/370,862 = 370,862/x
  3. Step 3: Cross multiply
    181,738x = 370,862 × 370,862
  4. Step 4: Simplify right side
    181,738x = 137,538,623,044
  5. Step 5: Solve for x
    x = 137,538,623,044/181,738
  6. Step 6: Final answer
    x = 756,796.17

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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.