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Finding the Third Proportional to 190,441.50 and 409,944

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Solution

The third proportional to 190,441.50 and 409,944 is: 882,444.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,441.50 : 409,944 = 409,944 : x
  2. Step 2: Convert to fraction form
    190,441.50/409,944 = 409,944/x
  3. Step 3: Cross multiply
    190,441.50x = 409,944 × 409,944
  4. Step 4: Simplify right side
    190,441.50x = 168,054,083,136
  5. Step 5: Solve for x
    x = 168,054,083,136/190,441.50
  6. Step 6: Final answer
    x = 882,444.65

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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.