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Finding the Third Proportional to 162,438 and 248,265

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Solution

The third proportional to 162,438 and 248,265 is: 379,440.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,438 : 248,265 = 248,265 : x
  2. Step 2: Convert to fraction form
    162,438/248,265 = 248,265/x
  3. Step 3: Cross multiply
    162,438x = 248,265 × 248,265
  4. Step 4: Simplify right side
    162,438x = 61,635,510,225
  5. Step 5: Solve for x
    x = 61,635,510,225/162,438
  6. Step 6: Final answer
    x = 379,440.22

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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.