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Finding the Third Proportional to 181,732 and 370,820

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Solution

The third proportional to 181,732 and 370,820 is: 756,649.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,732 : 370,820 = 370,820 : x
  2. Step 2: Convert to fraction form
    181,732/370,820 = 370,820/x
  3. Step 3: Cross multiply
    181,732x = 370,820 × 370,820
  4. Step 4: Simplify right side
    181,732x = 137,507,472,400
  5. Step 5: Solve for x
    x = 137,507,472,400/181,732
  6. Step 6: Final answer
    x = 756,649.75

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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.