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Finding the Third Proportional to 108,729 and 230,526

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Solution

The third proportional to 108,729 and 230,526 is: 488,758.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,729 : 230,526 = 230,526 : x
  2. Step 2: Convert to fraction form
    108,729/230,526 = 230,526/x
  3. Step 3: Cross multiply
    108,729x = 230,526 × 230,526
  4. Step 4: Simplify right side
    108,729x = 53,142,236,676
  5. Step 5: Solve for x
    x = 53,142,236,676/108,729
  6. Step 6: Final answer
    x = 488,758.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.