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Finding the Third Proportional to 108,812 and 230,688

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Solution

The third proportional to 108,812 and 230,688 is: 489,072.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,812 : 230,688 = 230,688 : x
  2. Step 2: Convert to fraction form
    108,812/230,688 = 230,688/x
  3. Step 3: Cross multiply
    108,812x = 230,688 × 230,688
  4. Step 4: Simplify right side
    108,812x = 53,216,953,344
  5. Step 5: Solve for x
    x = 53,216,953,344/108,812
  6. Step 6: Final answer
    x = 489,072.47

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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.