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Finding the Third Proportional to 154,029.75 and 330,976.50

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Solution

The third proportional to 154,029.75 and 330,976.50 is: 711,196.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,029.75 : 330,976.50 = 330,976.50 : x
  2. Step 2: Convert to fraction form
    154,029.75/330,976.50 = 330,976.50/x
  3. Step 3: Cross multiply
    154,029.75x = 330,976.50 × 330,976.50
  4. Step 4: Simplify right side
    154,029.75x = 109,545,443,552.25
  5. Step 5: Solve for x
    x = 109,545,443,552.25/154,029.75
  6. Step 6: Final answer
    x = 711,196.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.