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Finding the Third Proportional to 108,542.50 and 234,635

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Solution

The third proportional to 108,542.50 and 234,635 is: 507,207.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,542.50 : 234,635 = 234,635 : x
  2. Step 2: Convert to fraction form
    108,542.50/234,635 = 234,635/x
  3. Step 3: Cross multiply
    108,542.50x = 234,635 × 234,635
  4. Step 4: Simplify right side
    108,542.50x = 55,053,583,225
  5. Step 5: Solve for x
    x = 55,053,583,225/108,542.50
  6. Step 6: Final answer
    x = 507,207.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.