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Finding the Third Proportional to 229,656 and 326,622

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Solution

The third proportional to 229,656 and 326,622 is: 464,529.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,656 : 326,622 = 326,622 : x
  2. Step 2: Convert to fraction form
    229,656/326,622 = 326,622/x
  3. Step 3: Cross multiply
    229,656x = 326,622 × 326,622
  4. Step 4: Simplify right side
    229,656x = 106,681,930,884
  5. Step 5: Solve for x
    x = 106,681,930,884/229,656
  6. Step 6: Final answer
    x = 464,529.26

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.