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Finding the Third Proportional to 185,187.75 and 262,211.63

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Solution

The third proportional to 185,187.75 and 262,211.63 is: 371,271.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,187.75 : 262,211.63 = 262,211.63 : x
  2. Step 2: Convert to fraction form
    185,187.75/262,211.63 = 262,211.63/x
  3. Step 3: Cross multiply
    185,187.75x = 262,211.63 × 262,211.63
  4. Step 4: Simplify right side
    185,187.75x = 68,754,936,285.14
  5. Step 5: Solve for x
    x = 68,754,936,285.14/185,187.75
  6. Step 6: Final answer
    x = 371,271.51

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.