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Finding the Third Proportional to 181,776 and 388,295

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Solution

The third proportional to 181,776 and 388,295 is: 829,443.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,776 : 388,295 = 388,295 : x
  2. Step 2: Convert to fraction form
    181,776/388,295 = 388,295/x
  3. Step 3: Cross multiply
    181,776x = 388,295 × 388,295
  4. Step 4: Simplify right side
    181,776x = 150,773,007,025
  5. Step 5: Solve for x
    x = 150,773,007,025/181,776
  6. Step 6: Final answer
    x = 829,443.97

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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.