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Finding the Third Proportional to 105,032 and 230,474

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Solution

The third proportional to 105,032 and 230,474 is: 505,734.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,032 : 230,474 = 230,474 : x
  2. Step 2: Convert to fraction form
    105,032/230,474 = 230,474/x
  3. Step 3: Cross multiply
    105,032x = 230,474 × 230,474
  4. Step 4: Simplify right side
    105,032x = 53,118,264,676
  5. Step 5: Solve for x
    x = 53,118,264,676/105,032
  6. Step 6: Final answer
    x = 505,734.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.