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Finding the Third Proportional to 181,545 and 388,017

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Solution

The third proportional to 181,545 and 388,017 is: 829,310.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,545 : 388,017 = 388,017 : x
  2. Step 2: Convert to fraction form
    181,545/388,017 = 388,017/x
  3. Step 3: Cross multiply
    181,545x = 388,017 × 388,017
  4. Step 4: Simplify right side
    181,545x = 150,557,192,289
  5. Step 5: Solve for x
    x = 150,557,192,289/181,545
  6. Step 6: Final answer
    x = 829,310.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.