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Finding the Third Proportional to 133,248 and 275,760

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Solution

The third proportional to 133,248 and 275,760 is: 570,692.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,248 : 275,760 = 275,760 : x
  2. Step 2: Convert to fraction form
    133,248/275,760 = 275,760/x
  3. Step 3: Cross multiply
    133,248x = 275,760 × 275,760
  4. Step 4: Simplify right side
    133,248x = 76,043,577,600
  5. Step 5: Solve for x
    x = 76,043,577,600/133,248
  6. Step 6: Final answer
    x = 570,692.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.