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Finding the Third Proportional to 187,494 and 262,467.75

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Solution

The third proportional to 187,494 and 262,467.75 is: 367,421.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,494 : 262,467.75 = 262,467.75 : x
  2. Step 2: Convert to fraction form
    187,494/262,467.75 = 262,467.75/x
  3. Step 3: Cross multiply
    187,494x = 262,467.75 × 262,467.75
  4. Step 4: Simplify right side
    187,494x = 68,889,319,790.06
  5. Step 5: Solve for x
    x = 68,889,319,790.06/187,494
  6. Step 6: Final answer
    x = 367,421.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.