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Finding the Third Proportional to 134,784 and 275,400

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Solution

The third proportional to 134,784 and 275,400 is: 562,716.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,784 : 275,400 = 275,400 : x
  2. Step 2: Convert to fraction form
    134,784/275,400 = 275,400/x
  3. Step 3: Cross multiply
    134,784x = 275,400 × 275,400
  4. Step 4: Simplify right side
    134,784x = 75,845,160,000
  5. Step 5: Solve for x
    x = 75,845,160,000/134,784
  6. Step 6: Final answer
    x = 562,716.35

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.