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Finding the Third Proportional to 132,023 and 311,352

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Solution

The third proportional to 132,023 and 311,352 is: 734,266.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,023 : 311,352 = 311,352 : x
  2. Step 2: Convert to fraction form
    132,023/311,352 = 311,352/x
  3. Step 3: Cross multiply
    132,023x = 311,352 × 311,352
  4. Step 4: Simplify right side
    132,023x = 96,940,067,904
  5. Step 5: Solve for x
    x = 96,940,067,904/132,023
  6. Step 6: Final answer
    x = 734,266.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.