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Finding the Third Proportional to 181,462 and 370,700

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Solution

The third proportional to 181,462 and 370,700 is: 757,285.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,462 : 370,700 = 370,700 : x
  2. Step 2: Convert to fraction form
    181,462/370,700 = 370,700/x
  3. Step 3: Cross multiply
    181,462x = 370,700 × 370,700
  4. Step 4: Simplify right side
    181,462x = 137,418,490,000
  5. Step 5: Solve for x
    x = 137,418,490,000/181,462
  6. Step 6: Final answer
    x = 757,285.22

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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.