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Finding the Third Proportional to 216,596 and 339,852

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Solution

The third proportional to 216,596 and 339,852 is: 533,247.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,596 : 339,852 = 339,852 : x
  2. Step 2: Convert to fraction form
    216,596/339,852 = 339,852/x
  3. Step 3: Cross multiply
    216,596x = 339,852 × 339,852
  4. Step 4: Simplify right side
    216,596x = 115,499,381,904
  5. Step 5: Solve for x
    x = 115,499,381,904/216,596
  6. Step 6: Final answer
    x = 533,247.99

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.