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Finding the Third Proportional to 257,816.25 and 555,126.75

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Solution

The third proportional to 257,816.25 and 555,126.75 is: 1,195,292.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,816.25 : 555,126.75 = 555,126.75 : x
  2. Step 2: Convert to fraction form
    257,816.25/555,126.75 = 555,126.75/x
  3. Step 3: Cross multiply
    257,816.25x = 555,126.75 × 555,126.75
  4. Step 4: Simplify right side
    257,816.25x = 308,165,708,565.56
  5. Step 5: Solve for x
    x = 308,165,708,565.56/257,816.25
  6. Step 6: Final answer
    x = 1,195,292.03

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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.