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Finding the Third Proportional to 108,878.50 and 234,443

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Solution

The third proportional to 108,878.50 and 234,443 is: 504,815.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,878.50 : 234,443 = 234,443 : x
  2. Step 2: Convert to fraction form
    108,878.50/234,443 = 234,443/x
  3. Step 3: Cross multiply
    108,878.50x = 234,443 × 234,443
  4. Step 4: Simplify right side
    108,878.50x = 54,963,520,249
  5. Step 5: Solve for x
    x = 54,963,520,249/108,878.50
  6. Step 6: Final answer
    x = 504,815.19

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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.