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Finding the Third Proportional to 134,264.25 and 188,213.63

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Solution

The third proportional to 134,264.25 and 188,213.63 is: 263,840.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,264.25 : 188,213.63 = 188,213.63 : x
  2. Step 2: Convert to fraction form
    134,264.25/188,213.63 = 188,213.63/x
  3. Step 3: Cross multiply
    134,264.25x = 188,213.63 × 188,213.63
  4. Step 4: Simplify right side
    134,264.25x = 35,424,368,635.64
  5. Step 5: Solve for x
    x = 35,424,368,635.64/134,264.25
  6. Step 6: Final answer
    x = 263,840.66

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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.