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Finding the Third Proportional to 108,532 and 235,653

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Solution

The third proportional to 108,532 and 235,653 is: 511,667.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,532 : 235,653 = 235,653 : x
  2. Step 2: Convert to fraction form
    108,532/235,653 = 235,653/x
  3. Step 3: Cross multiply
    108,532x = 235,653 × 235,653
  4. Step 4: Simplify right side
    108,532x = 55,532,336,409
  5. Step 5: Solve for x
    x = 55,532,336,409/108,532
  6. Step 6: Final answer
    x = 511,667.86

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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.