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Finding the Third Proportional to 258,147 and 555,842.25

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Solution

The third proportional to 258,147 and 555,842.25 is: 1,196,839.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,147 : 555,842.25 = 555,842.25 : x
  2. Step 2: Convert to fraction form
    258,147/555,842.25 = 555,842.25/x
  3. Step 3: Cross multiply
    258,147x = 555,842.25 × 555,842.25
  4. Step 4: Simplify right side
    258,147x = 308,960,606,885.06
  5. Step 5: Solve for x
    x = 308,960,606,885.06/258,147
  6. Step 6: Final answer
    x = 1,196,839.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.