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Finding the Third Proportional to 108,448 and 234,999

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Solution

The third proportional to 108,448 and 234,999 is: 509,225.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,448 : 234,999 = 234,999 : x
  2. Step 2: Convert to fraction form
    108,448/234,999 = 234,999/x
  3. Step 3: Cross multiply
    108,448x = 234,999 × 234,999
  4. Step 4: Simplify right side
    108,448x = 55,224,530,001
  5. Step 5: Solve for x
    x = 55,224,530,001/108,448
  6. Step 6: Final answer
    x = 509,225.90

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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.