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Finding the Third Proportional to 100,334 and 217,946

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Solution

The third proportional to 100,334 and 217,946 is: 473,423.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,334 : 217,946 = 217,946 : x
  2. Step 2: Convert to fraction form
    100,334/217,946 = 217,946/x
  3. Step 3: Cross multiply
    100,334x = 217,946 × 217,946
  4. Step 4: Simplify right side
    100,334x = 47,500,458,916
  5. Step 5: Solve for x
    x = 47,500,458,916/100,334
  6. Step 6: Final answer
    x = 473,423.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.