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Finding the Third Proportional to 187.03 and 436.78

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Solution

The third proportional to 187.03 and 436.78 is: 1,020.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.03 : 436.78 = 436.78 : x
  2. Step 2: Convert to fraction form
    187.03/436.78 = 436.78/x
  3. Step 3: Cross multiply
    187.03x = 436.78 × 436.78
  4. Step 4: Simplify right side
    187.03x = 190,777.86
  5. Step 5: Solve for x
    x = 190,777.86/187.03
  6. Step 6: Final answer
    x = 1,020.03

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.