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Finding the Third Proportional to 108,491 and 235,642

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Solution

The third proportional to 108,491 and 235,642 is: 511,813.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,491 : 235,642 = 235,642 : x
  2. Step 2: Convert to fraction form
    108,491/235,642 = 235,642/x
  3. Step 3: Cross multiply
    108,491x = 235,642 × 235,642
  4. Step 4: Simplify right side
    108,491x = 55,527,152,164
  5. Step 5: Solve for x
    x = 55,527,152,164/108,491
  6. Step 6: Final answer
    x = 511,813.44

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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.