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Finding the Third Proportional to 154,635 and 239,434

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Solution

The third proportional to 154,635 and 239,434 is: 370,735.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,635 : 239,434 = 239,434 : x
  2. Step 2: Convert to fraction form
    154,635/239,434 = 239,434/x
  3. Step 3: Cross multiply
    154,635x = 239,434 × 239,434
  4. Step 4: Simplify right side
    154,635x = 57,328,640,356
  5. Step 5: Solve for x
    x = 57,328,640,356/154,635
  6. Step 6: Final answer
    x = 370,735.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.