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Finding the Third Proportional to 132,992 and 288,180

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Solution

The third proportional to 132,992 and 288,180 is: 624,456.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,992 : 288,180 = 288,180 : x
  2. Step 2: Convert to fraction form
    132,992/288,180 = 288,180/x
  3. Step 3: Cross multiply
    132,992x = 288,180 × 288,180
  4. Step 4: Simplify right side
    132,992x = 83,047,712,400
  5. Step 5: Solve for x
    x = 83,047,712,400/132,992
  6. Step 6: Final answer
    x = 624,456.45

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.