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Finding the Third Proportional to 211,766 and 337,090

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Solution

The third proportional to 211,766 and 337,090 is: 536,581.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,766 : 337,090 = 337,090 : x
  2. Step 2: Convert to fraction form
    211,766/337,090 = 337,090/x
  3. Step 3: Cross multiply
    211,766x = 337,090 × 337,090
  4. Step 4: Simplify right side
    211,766x = 113,629,668,100
  5. Step 5: Solve for x
    x = 113,629,668,100/211,766
  6. Step 6: Final answer
    x = 536,581.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.