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Finding the Third Proportional to 107,257.50 and 236,007

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Solution

The third proportional to 107,257.50 and 236,007 is: 519,304.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,257.50 : 236,007 = 236,007 : x
  2. Step 2: Convert to fraction form
    107,257.50/236,007 = 236,007/x
  3. Step 3: Cross multiply
    107,257.50x = 236,007 × 236,007
  4. Step 4: Simplify right side
    107,257.50x = 55,699,304,049
  5. Step 5: Solve for x
    x = 55,699,304,049/107,257.50
  6. Step 6: Final answer
    x = 519,304.52

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.