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Finding the Third Proportional to 122,618.25 and 264,586.50

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Solution

The third proportional to 122,618.25 and 264,586.50 is: 570,926.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,618.25 : 264,586.50 = 264,586.50 : x
  2. Step 2: Convert to fraction form
    122,618.25/264,586.50 = 264,586.50/x
  3. Step 3: Cross multiply
    122,618.25x = 264,586.50 × 264,586.50
  4. Step 4: Simplify right side
    122,618.25x = 70,006,015,982.25
  5. Step 5: Solve for x
    x = 70,006,015,982.25/122,618.25
  6. Step 6: Final answer
    x = 570,926.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.