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Finding the Third Proportional to 128,980 and 280,985

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Solution

The third proportional to 128,980 and 280,985 is: 612,130.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,980 : 280,985 = 280,985 : x
  2. Step 2: Convert to fraction form
    128,980/280,985 = 280,985/x
  3. Step 3: Cross multiply
    128,980x = 280,985 × 280,985
  4. Step 4: Simplify right side
    128,980x = 78,952,570,225
  5. Step 5: Solve for x
    x = 78,952,570,225/128,980
  6. Step 6: Final answer
    x = 612,130.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.