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Finding the Third Proportional to 108,187 and 234,621

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Solution

The third proportional to 108,187 and 234,621 is: 508,813.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,187 : 234,621 = 234,621 : x
  2. Step 2: Convert to fraction form
    108,187/234,621 = 234,621/x
  3. Step 3: Cross multiply
    108,187x = 234,621 × 234,621
  4. Step 4: Simplify right side
    108,187x = 55,047,013,641
  5. Step 5: Solve for x
    x = 55,047,013,641/108,187
  6. Step 6: Final answer
    x = 508,813.57

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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.