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Finding the Third Proportional to 134,568 and 288,447.75

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Solution

The third proportional to 134,568 and 288,447.75 is: 618,290.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,568 : 288,447.75 = 288,447.75 : x
  2. Step 2: Convert to fraction form
    134,568/288,447.75 = 288,447.75/x
  3. Step 3: Cross multiply
    134,568x = 288,447.75 × 288,447.75
  4. Step 4: Simplify right side
    134,568x = 83,202,104,480.06
  5. Step 5: Solve for x
    x = 83,202,104,480.06/134,568
  6. Step 6: Final answer
    x = 618,290.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.