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Finding the Third Proportional to 122,037 and 263,812.50

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Solution

The third proportional to 122,037 and 263,812.50 is: 570,294.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,037 : 263,812.50 = 263,812.50 : x
  2. Step 2: Convert to fraction form
    122,037/263,812.50 = 263,812.50/x
  3. Step 3: Cross multiply
    122,037x = 263,812.50 × 263,812.50
  4. Step 4: Simplify right side
    122,037x = 69,597,035,156.25
  5. Step 5: Solve for x
    x = 69,597,035,156.25/122,037
  6. Step 6: Final answer
    x = 570,294.54

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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.