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Finding the Third Proportional to 235,322 and 355,161

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Solution

The third proportional to 235,322 and 355,161 is: 536,028.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,322 : 355,161 = 355,161 : x
  2. Step 2: Convert to fraction form
    235,322/355,161 = 355,161/x
  3. Step 3: Cross multiply
    235,322x = 355,161 × 355,161
  4. Step 4: Simplify right side
    235,322x = 126,139,335,921
  5. Step 5: Solve for x
    x = 126,139,335,921/235,322
  6. Step 6: Final answer
    x = 536,028.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.