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Finding the Third Proportional to 135,096 and 197,433

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Solution

The third proportional to 135,096 and 197,433 is: 288,534.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,096 : 197,433 = 197,433 : x
  2. Step 2: Convert to fraction form
    135,096/197,433 = 197,433/x
  3. Step 3: Cross multiply
    135,096x = 197,433 × 197,433
  4. Step 4: Simplify right side
    135,096x = 38,979,789,489
  5. Step 5: Solve for x
    x = 38,979,789,489/135,096
  6. Step 6: Final answer
    x = 288,534.00

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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.