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Finding the Third Proportional to 154,640 and 239,443

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Solution

The third proportional to 154,640 and 239,443 is: 370,751.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,640 : 239,443 = 239,443 : x
  2. Step 2: Convert to fraction form
    154,640/239,443 = 239,443/x
  3. Step 3: Cross multiply
    154,640x = 239,443 × 239,443
  4. Step 4: Simplify right side
    154,640x = 57,332,950,249
  5. Step 5: Solve for x
    x = 57,332,950,249/154,640
  6. Step 6: Final answer
    x = 370,751.10

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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.