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Finding the Third Proportional to 140,732 and 287,194

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Solution

The third proportional to 140,732 and 287,194 is: 586,081.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,732 : 287,194 = 287,194 : x
  2. Step 2: Convert to fraction form
    140,732/287,194 = 287,194/x
  3. Step 3: Cross multiply
    140,732x = 287,194 × 287,194
  4. Step 4: Simplify right side
    140,732x = 82,480,393,636
  5. Step 5: Solve for x
    x = 82,480,393,636/140,732
  6. Step 6: Final answer
    x = 586,081.30

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.