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Finding the Third Proportional to 190,039.50 and 409,536

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Solution

The third proportional to 190,039.50 and 409,536 is: 882,551.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,039.50 : 409,536 = 409,536 : x
  2. Step 2: Convert to fraction form
    190,039.50/409,536 = 409,536/x
  3. Step 3: Cross multiply
    190,039.50x = 409,536 × 409,536
  4. Step 4: Simplify right side
    190,039.50x = 167,719,735,296
  5. Step 5: Solve for x
    x = 167,719,735,296/190,039.50
  6. Step 6: Final answer
    x = 882,551.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.