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Finding the Third Proportional to 197,133.75 and 262,045.13

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Solution

The third proportional to 197,133.75 and 262,045.13 is: 348,330.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,133.75 : 262,045.13 = 262,045.13 : x
  2. Step 2: Convert to fraction form
    197,133.75/262,045.13 = 262,045.13/x
  3. Step 3: Cross multiply
    197,133.75x = 262,045.13 × 262,045.13
  4. Step 4: Simplify right side
    197,133.75x = 68,667,647,536.27
  5. Step 5: Solve for x
    x = 68,667,647,536.27/197,133.75
  6. Step 6: Final answer
    x = 348,330.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.