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Finding the Third Proportional to 108,906 and 234,498

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Solution

The third proportional to 108,906 and 234,498 is: 504,924.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,906 : 234,498 = 234,498 : x
  2. Step 2: Convert to fraction form
    108,906/234,498 = 234,498/x
  3. Step 3: Cross multiply
    108,906x = 234,498 × 234,498
  4. Step 4: Simplify right side
    108,906x = 54,989,312,004
  5. Step 5: Solve for x
    x = 54,989,312,004/108,906
  6. Step 6: Final answer
    x = 504,924.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.