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Finding the Third Proportional to 108,546 and 234,588

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Solution

The third proportional to 108,546 and 234,588 is: 506,988.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,546 : 234,588 = 234,588 : x
  2. Step 2: Convert to fraction form
    108,546/234,588 = 234,588/x
  3. Step 3: Cross multiply
    108,546x = 234,588 × 234,588
  4. Step 4: Simplify right side
    108,546x = 55,031,529,744
  5. Step 5: Solve for x
    x = 55,031,529,744/108,546
  6. Step 6: Final answer
    x = 506,988.09

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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.