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Finding the Third Proportional to 116,689.50 and 238,306.50

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Solution

The third proportional to 116,689.50 and 238,306.50 is: 486,676.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,689.50 : 238,306.50 = 238,306.50 : x
  2. Step 2: Convert to fraction form
    116,689.50/238,306.50 = 238,306.50/x
  3. Step 3: Cross multiply
    116,689.50x = 238,306.50 × 238,306.50
  4. Step 4: Simplify right side
    116,689.50x = 56,789,987,942.25
  5. Step 5: Solve for x
    x = 56,789,987,942.25/116,689.50
  6. Step 6: Final answer
    x = 486,676.08

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.