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Finding the Third Proportional to 181,282 and 388,808

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Solution

The third proportional to 181,282 and 388,808 is: 833,903.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,282 : 388,808 = 388,808 : x
  2. Step 2: Convert to fraction form
    181,282/388,808 = 388,808/x
  3. Step 3: Cross multiply
    181,282x = 388,808 × 388,808
  4. Step 4: Simplify right side
    181,282x = 151,171,660,864
  5. Step 5: Solve for x
    x = 151,171,660,864/181,282
  6. Step 6: Final answer
    x = 833,903.32

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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.