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Finding the Third Proportional to 122,016.38 and 264,790.69

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Solution

The third proportional to 122,016.38 and 264,790.69 is: 574,628.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,016.38 : 264,790.69 = 264,790.69 : x
  2. Step 2: Convert to fraction form
    122,016.38/264,790.69 = 264,790.69/x
  3. Step 3: Cross multiply
    122,016.38x = 264,790.69 × 264,790.69
  4. Step 4: Simplify right side
    122,016.38x = 70,114,108,186.72
  5. Step 5: Solve for x
    x = 70,114,108,186.72/122,016.38
  6. Step 6: Final answer
    x = 574,628.68

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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.