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Finding the Third Proportional to 134,273 and 188,226

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Solution

The third proportional to 134,273 and 188,226 is: 263,858.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,273 : 188,226 = 188,226 : x
  2. Step 2: Convert to fraction form
    134,273/188,226 = 188,226/x
  3. Step 3: Cross multiply
    134,273x = 188,226 × 188,226
  4. Step 4: Simplify right side
    134,273x = 35,429,027,076
  5. Step 5: Solve for x
    x = 35,429,027,076/134,273
  6. Step 6: Final answer
    x = 263,858.16

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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.