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Finding the Third Proportional to 132,858 and 197,395

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Solution

The third proportional to 132,858 and 197,395 is: 293,281.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,858 : 197,395 = 197,395 : x
  2. Step 2: Convert to fraction form
    132,858/197,395 = 197,395/x
  3. Step 3: Cross multiply
    132,858x = 197,395 × 197,395
  4. Step 4: Simplify right side
    132,858x = 38,964,786,025
  5. Step 5: Solve for x
    x = 38,964,786,025/132,858
  6. Step 6: Final answer
    x = 293,281.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.