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Finding the Third Proportional to 211,698 and 300,915

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Solution

The third proportional to 211,698 and 300,915 is: 427,731.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,698 : 300,915 = 300,915 : x
  2. Step 2: Convert to fraction form
    211,698/300,915 = 300,915/x
  3. Step 3: Cross multiply
    211,698x = 300,915 × 300,915
  4. Step 4: Simplify right side
    211,698x = 90,549,837,225
  5. Step 5: Solve for x
    x = 90,549,837,225/211,698
  6. Step 6: Final answer
    x = 427,731.19

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.