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Finding the Third Proportional to 108,447 and 234,996

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Solution

The third proportional to 108,447 and 234,996 is: 509,217.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,447 : 234,996 = 234,996 : x
  2. Step 2: Convert to fraction form
    108,447/234,996 = 234,996/x
  3. Step 3: Cross multiply
    108,447x = 234,996 × 234,996
  4. Step 4: Simplify right side
    108,447x = 55,223,120,016
  5. Step 5: Solve for x
    x = 55,223,120,016/108,447
  6. Step 6: Final answer
    x = 509,217.59

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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.