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Finding the Third Proportional to 109,065 and 230,705

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Solution

The third proportional to 109,065 and 230,705 is: 488,009.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,065 : 230,705 = 230,705 : x
  2. Step 2: Convert to fraction form
    109,065/230,705 = 230,705/x
  3. Step 3: Cross multiply
    109,065x = 230,705 × 230,705
  4. Step 4: Simplify right side
    109,065x = 53,224,797,025
  5. Step 5: Solve for x
    x = 53,224,797,025/109,065
  6. Step 6: Final answer
    x = 488,009.88

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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.