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Finding the Third Proportional to 109,257.75 and 237,743.25

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Solution

The third proportional to 109,257.75 and 237,743.25 is: 517,325.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,257.75 : 237,743.25 = 237,743.25 : x
  2. Step 2: Convert to fraction form
    109,257.75/237,743.25 = 237,743.25/x
  3. Step 3: Cross multiply
    109,257.75x = 237,743.25 × 237,743.25
  4. Step 4: Simplify right side
    109,257.75x = 56,521,852,920.56
  5. Step 5: Solve for x
    x = 56,521,852,920.56/109,257.75
  6. Step 6: Final answer
    x = 517,325.80

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.