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Finding the Third Proportional to 211,650 and 319,635

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Solution

The third proportional to 211,650 and 319,635 is: 482,714.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,650 : 319,635 = 319,635 : x
  2. Step 2: Convert to fraction form
    211,650/319,635 = 319,635/x
  3. Step 3: Cross multiply
    211,650x = 319,635 × 319,635
  4. Step 4: Simplify right side
    211,650x = 102,166,533,225
  5. Step 5: Solve for x
    x = 102,166,533,225/211,650
  6. Step 6: Final answer
    x = 482,714.54

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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.