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Finding the Third Proportional to 216,116 and 337,296

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Solution

The third proportional to 216,116 and 337,296 is: 526,423.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,116 : 337,296 = 337,296 : x
  2. Step 2: Convert to fraction form
    216,116/337,296 = 337,296/x
  3. Step 3: Cross multiply
    216,116x = 337,296 × 337,296
  4. Step 4: Simplify right side
    216,116x = 113,768,591,616
  5. Step 5: Solve for x
    x = 113,768,591,616/216,116
  6. Step 6: Final answer
    x = 526,423.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.