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Finding the Third Proportional to 120,951.56 and 264,915.56

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Solution

The third proportional to 120,951.56 and 264,915.56 is: 580,234.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,951.56 : 264,915.56 = 264,915.56 : x
  2. Step 2: Convert to fraction form
    120,951.56/264,915.56 = 264,915.56/x
  3. Step 3: Cross multiply
    120,951.56x = 264,915.56 × 264,915.56
  4. Step 4: Simplify right side
    120,951.56x = 70,180,255,254.69
  5. Step 5: Solve for x
    x = 70,180,255,254.69/120,951.56
  6. Step 6: Final answer
    x = 580,234.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.