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Finding the Third Proportional to 185,532 and 280,017

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Solution

The third proportional to 185,532 and 280,017 is: 422,619.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,532 : 280,017 = 280,017 : x
  2. Step 2: Convert to fraction form
    185,532/280,017 = 280,017/x
  3. Step 3: Cross multiply
    185,532x = 280,017 × 280,017
  4. Step 4: Simplify right side
    185,532x = 78,409,520,289
  5. Step 5: Solve for x
    x = 78,409,520,289/185,532
  6. Step 6: Final answer
    x = 422,619.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.