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Finding the Third Proportional to 181,062 and 388,422

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Solution

The third proportional to 181,062 and 388,422 is: 833,259.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,062 : 388,422 = 388,422 : x
  2. Step 2: Convert to fraction form
    181,062/388,422 = 388,422/x
  3. Step 3: Cross multiply
    181,062x = 388,422 × 388,422
  4. Step 4: Simplify right side
    181,062x = 150,871,650,084
  5. Step 5: Solve for x
    x = 150,871,650,084/181,062
  6. Step 6: Final answer
    x = 833,259.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.