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Finding the Third Proportional to 190,267.50 and 409,965

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Solution

The third proportional to 190,267.50 and 409,965 is: 883,342.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,267.50 : 409,965 = 409,965 : x
  2. Step 2: Convert to fraction form
    190,267.50/409,965 = 409,965/x
  3. Step 3: Cross multiply
    190,267.50x = 409,965 × 409,965
  4. Step 4: Simplify right side
    190,267.50x = 168,071,301,225
  5. Step 5: Solve for x
    x = 168,071,301,225/190,267.50
  6. Step 6: Final answer
    x = 883,342.14

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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.