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Finding the Third Proportional to 154,004 and 230,379

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Solution

The third proportional to 154,004 and 230,379 is: 344,630.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,004 : 230,379 = 230,379 : x
  2. Step 2: Convert to fraction form
    154,004/230,379 = 230,379/x
  3. Step 3: Cross multiply
    154,004x = 230,379 × 230,379
  4. Step 4: Simplify right side
    154,004x = 53,074,483,641
  5. Step 5: Solve for x
    x = 53,074,483,641/154,004
  6. Step 6: Final answer
    x = 344,630.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.