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Finding the Third Proportional to 129,027.94 and 282,902.63

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Solution

The third proportional to 129,027.94 and 282,902.63 is: 620,283.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,027.94 : 282,902.63 = 282,902.63 : x
  2. Step 2: Convert to fraction form
    129,027.94/282,902.63 = 282,902.63/x
  3. Step 3: Cross multiply
    129,027.94x = 282,902.63 × 282,902.63
  4. Step 4: Simplify right side
    129,027.94x = 80,033,895,231.89
  5. Step 5: Solve for x
    x = 80,033,895,231.89/129,027.94
  6. Step 6: Final answer
    x = 620,283.46

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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.