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Finding the Third Proportional to 190,436.06 and 409,932.56

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Solution

The third proportional to 190,436.06 and 409,932.56 is: 882,420.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,436.06 : 409,932.56 = 409,932.56 : x
  2. Step 2: Convert to fraction form
    190,436.06/409,932.56 = 409,932.56/x
  3. Step 3: Cross multiply
    190,436.06x = 409,932.56 × 409,932.56
  4. Step 4: Simplify right side
    190,436.06x = 168,044,705,797.82
  5. Step 5: Solve for x
    x = 168,044,705,797.82/190,436.06
  6. Step 6: Final answer
    x = 882,420.61

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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.