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Finding the Third Proportional to 134,600 and 197,004

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Solution

The third proportional to 134,600 and 197,004 is: 288,340.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,600 : 197,004 = 197,004 : x
  2. Step 2: Convert to fraction form
    134,600/197,004 = 197,004/x
  3. Step 3: Cross multiply
    134,600x = 197,004 × 197,004
  4. Step 4: Simplify right side
    134,600x = 38,810,576,016
  5. Step 5: Solve for x
    x = 38,810,576,016/134,600
  6. Step 6: Final answer
    x = 288,340.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.