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Finding the Third Proportional to 132,868 and 197,410

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Solution

The third proportional to 132,868 and 197,410 is: 293,303.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,868 : 197,410 = 197,410 : x
  2. Step 2: Convert to fraction form
    132,868/197,410 = 197,410/x
  3. Step 3: Cross multiply
    132,868x = 197,410 × 197,410
  4. Step 4: Simplify right side
    132,868x = 38,970,708,100
  5. Step 5: Solve for x
    x = 38,970,708,100/132,868
  6. Step 6: Final answer
    x = 293,303.94

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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.