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Finding the Third Proportional to 211,804 and 296,250

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Solution

The third proportional to 211,804 and 296,250 is: 414,364.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,804 : 296,250 = 296,250 : x
  2. Step 2: Convert to fraction form
    211,804/296,250 = 296,250/x
  3. Step 3: Cross multiply
    211,804x = 296,250 × 296,250
  4. Step 4: Simplify right side
    211,804x = 87,764,062,500
  5. Step 5: Solve for x
    x = 87,764,062,500/211,804
  6. Step 6: Final answer
    x = 414,364.52

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.