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Finding the Third Proportional to 218,016 and 337,696

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Solution

The third proportional to 218,016 and 337,696 is: 523,074.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,016 : 337,696 = 337,696 : x
  2. Step 2: Convert to fraction form
    218,016/337,696 = 337,696/x
  3. Step 3: Cross multiply
    218,016x = 337,696 × 337,696
  4. Step 4: Simplify right side
    218,016x = 114,038,588,416
  5. Step 5: Solve for x
    x = 114,038,588,416/218,016
  6. Step 6: Final answer
    x = 523,074.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.