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Finding the Third Proportional to 172,425.75 and 256,176.75

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Solution

The third proportional to 172,425.75 and 256,176.75 is: 380,607.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,425.75 : 256,176.75 = 256,176.75 : x
  2. Step 2: Convert to fraction form
    172,425.75/256,176.75 = 256,176.75/x
  3. Step 3: Cross multiply
    172,425.75x = 256,176.75 × 256,176.75
  4. Step 4: Simplify right side
    172,425.75x = 65,626,527,240.56
  5. Step 5: Solve for x
    x = 65,626,527,240.56/172,425.75
  6. Step 6: Final answer
    x = 380,607.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.