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Finding the Third Proportional to 154,409.06 and 230,704.45

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Solution

The third proportional to 154,409.06 and 230,704.45 is: 344,698.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,409.06 : 230,704.45 = 230,704.45 : x
  2. Step 2: Convert to fraction form
    154,409.06/230,704.45 = 230,704.45/x
  3. Step 3: Cross multiply
    154,409.06x = 230,704.45 × 230,704.45
  4. Step 4: Simplify right side
    154,409.06x = 53,224,544,691.71
  5. Step 5: Solve for x
    x = 53,224,544,691.71/154,409.06
  6. Step 6: Final answer
    x = 344,698.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.