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Finding the Third Proportional to 131,120 and 287,512

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Solution

The third proportional to 131,120 and 287,512 is: 630,438.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,120 : 287,512 = 287,512 : x
  2. Step 2: Convert to fraction form
    131,120/287,512 = 287,512/x
  3. Step 3: Cross multiply
    131,120x = 287,512 × 287,512
  4. Step 4: Simplify right side
    131,120x = 82,663,150,144
  5. Step 5: Solve for x
    x = 82,663,150,144/131,120
  6. Step 6: Final answer
    x = 630,438.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.