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Finding the Third Proportional to 162,432 and 248,256

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Solution

The third proportional to 162,432 and 248,256 is: 379,426.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,432 : 248,256 = 248,256 : x
  2. Step 2: Convert to fraction form
    162,432/248,256 = 248,256/x
  3. Step 3: Cross multiply
    162,432x = 248,256 × 248,256
  4. Step 4: Simplify right side
    162,432x = 61,631,041,536
  5. Step 5: Solve for x
    x = 61,631,041,536/162,432
  6. Step 6: Final answer
    x = 379,426.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.