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Finding the Third Proportional to 134,259 and 188,205.75

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Solution

The third proportional to 134,259 and 188,205.75 is: 263,828.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,259 : 188,205.75 = 188,205.75 : x
  2. Step 2: Convert to fraction form
    134,259/188,205.75 = 188,205.75/x
  3. Step 3: Cross multiply
    134,259x = 188,205.75 × 188,205.75
  4. Step 4: Simplify right side
    134,259x = 35,421,404,333.06
  5. Step 5: Solve for x
    x = 35,421,404,333.06/134,259
  6. Step 6: Final answer
    x = 263,828.90

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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.