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Finding the Third Proportional to 108,434 and 234,968

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Solution

The third proportional to 108,434 and 234,968 is: 509,157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,434 : 234,968 = 234,968 : x
  2. Step 2: Convert to fraction form
    108,434/234,968 = 234,968/x
  3. Step 3: Cross multiply
    108,434x = 234,968 × 234,968
  4. Step 4: Simplify right side
    108,434x = 55,209,961,024
  5. Step 5: Solve for x
    x = 55,209,961,024/108,434
  6. Step 6: Final answer
    x = 509,157.28

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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.