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Finding the Third Proportional to 134,228 and 282,268

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Solution

The third proportional to 134,228 and 282,268 is: 593,581.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,228 : 282,268 = 282,268 : x
  2. Step 2: Convert to fraction form
    134,228/282,268 = 282,268/x
  3. Step 3: Cross multiply
    134,228x = 282,268 × 282,268
  4. Step 4: Simplify right side
    134,228x = 79,675,223,824
  5. Step 5: Solve for x
    x = 79,675,223,824/134,228
  6. Step 6: Final answer
    x = 593,581.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.