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Finding the Third Proportional to 128,914 and 285,476

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Solution

The third proportional to 128,914 and 285,476 is: 632,177.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,914 : 285,476 = 285,476 : x
  2. Step 2: Convert to fraction form
    128,914/285,476 = 285,476/x
  3. Step 3: Cross multiply
    128,914x = 285,476 × 285,476
  4. Step 4: Simplify right side
    128,914x = 81,496,546,576
  5. Step 5: Solve for x
    x = 81,496,546,576/128,914
  6. Step 6: Final answer
    x = 632,177.63

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.