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Finding the Third Proportional to 178,176 and 250,632

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Solution

The third proportional to 178,176 and 250,632 is: 352,552.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,176 : 250,632 = 250,632 : x
  2. Step 2: Convert to fraction form
    178,176/250,632 = 250,632/x
  3. Step 3: Cross multiply
    178,176x = 250,632 × 250,632
  4. Step 4: Simplify right side
    178,176x = 62,816,399,424
  5. Step 5: Solve for x
    x = 62,816,399,424/178,176
  6. Step 6: Final answer
    x = 352,552.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.