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Finding the Third Proportional to 108,810 and 230,682

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Solution

The third proportional to 108,810 and 230,682 is: 489,056.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,810 : 230,682 = 230,682 : x
  2. Step 2: Convert to fraction form
    108,810/230,682 = 230,682/x
  3. Step 3: Cross multiply
    108,810x = 230,682 × 230,682
  4. Step 4: Simplify right side
    108,810x = 53,214,185,124
  5. Step 5: Solve for x
    x = 53,214,185,124/108,810
  6. Step 6: Final answer
    x = 489,056.02

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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.