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Finding the Third Proportional to 154,011 and 230,389

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Solution

The third proportional to 154,011 and 230,389 is: 344,644.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,011 : 230,389 = 230,389 : x
  2. Step 2: Convert to fraction form
    154,011/230,389 = 230,389/x
  3. Step 3: Cross multiply
    154,011x = 230,389 × 230,389
  4. Step 4: Simplify right side
    154,011x = 53,079,091,321
  5. Step 5: Solve for x
    x = 53,079,091,321/154,011
  6. Step 6: Final answer
    x = 344,644.81

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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.