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Finding the Third Proportional to 108,471 and 235,041

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Solution

The third proportional to 108,471 and 235,041 is: 509,299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,471 : 235,041 = 235,041 : x
  2. Step 2: Convert to fraction form
    108,471/235,041 = 235,041/x
  3. Step 3: Cross multiply
    108,471x = 235,041 × 235,041
  4. Step 4: Simplify right side
    108,471x = 55,244,271,681
  5. Step 5: Solve for x
    x = 55,244,271,681/108,471
  6. Step 6: Final answer
    x = 509,299.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.