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Finding the Third Proportional to 182,975.06 and 285,529.50

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Solution

The third proportional to 182,975.06 and 285,529.50 is: 445,563.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,975.06 : 285,529.50 = 285,529.50 : x
  2. Step 2: Convert to fraction form
    182,975.06/285,529.50 = 285,529.50/x
  3. Step 3: Cross multiply
    182,975.06x = 285,529.50 × 285,529.50
  4. Step 4: Simplify right side
    182,975.06x = 81,527,095,370.25
  5. Step 5: Solve for x
    x = 81,527,095,370.25/182,975.06
  6. Step 6: Final answer
    x = 445,563.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.