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Finding the Third Proportional to 110,694.38 and 237,513.38

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Solution

The third proportional to 110,694.38 and 237,513.38 is: 509,624.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,694.38 : 237,513.38 = 237,513.38 : x
  2. Step 2: Convert to fraction form
    110,694.38/237,513.38 = 237,513.38/x
  3. Step 3: Cross multiply
    110,694.38x = 237,513.38 × 237,513.38
  4. Step 4: Simplify right side
    110,694.38x = 56,412,603,303.89
  5. Step 5: Solve for x
    x = 56,412,603,303.89/110,694.38
  6. Step 6: Final answer
    x = 509,624.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.