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Finding the Third Proportional to 128,886 and 285,420

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Solution

The third proportional to 128,886 and 285,420 is: 632,066.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,886 : 285,420 = 285,420 : x
  2. Step 2: Convert to fraction form
    128,886/285,420 = 285,420/x
  3. Step 3: Cross multiply
    128,886x = 285,420 × 285,420
  4. Step 4: Simplify right side
    128,886x = 81,464,576,400
  5. Step 5: Solve for x
    x = 81,464,576,400/128,886
  6. Step 6: Final answer
    x = 632,066.91

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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.