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Finding the Third Proportional to 132,271.50 and 277,647

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Solution

The third proportional to 132,271.50 and 277,647 is: 582,800.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,271.50 : 277,647 = 277,647 : x
  2. Step 2: Convert to fraction form
    132,271.50/277,647 = 277,647/x
  3. Step 3: Cross multiply
    132,271.50x = 277,647 × 277,647
  4. Step 4: Simplify right side
    132,271.50x = 77,087,856,609
  5. Step 5: Solve for x
    x = 77,087,856,609/132,271.50
  6. Step 6: Final answer
    x = 582,800.20

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