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Finding the Third Proportional to 235,811 and 333,346

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Solution

The third proportional to 235,811 and 333,346 is: 471,222.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,811 : 333,346 = 333,346 : x
  2. Step 2: Convert to fraction form
    235,811/333,346 = 333,346/x
  3. Step 3: Cross multiply
    235,811x = 333,346 × 333,346
  4. Step 4: Simplify right side
    235,811x = 111,119,555,716
  5. Step 5: Solve for x
    x = 111,119,555,716/235,811
  6. Step 6: Final answer
    x = 471,222.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.