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Finding the Third Proportional to 118,512 and 250,967.25

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Solution

The third proportional to 118,512 and 250,967.25 is: 531,461.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,512 : 250,967.25 = 250,967.25 : x
  2. Step 2: Convert to fraction form
    118,512/250,967.25 = 250,967.25/x
  3. Step 3: Cross multiply
    118,512x = 250,967.25 × 250,967.25
  4. Step 4: Simplify right side
    118,512x = 62,984,560,572.56
  5. Step 5: Solve for x
    x = 62,984,560,572.56/118,512
  6. Step 6: Final answer
    x = 531,461.46

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.