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Finding the Third Proportional to 186,997.50 and 409,047.75

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Solution

The third proportional to 186,997.50 and 409,047.75 is: 894,771.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,997.50 : 409,047.75 = 409,047.75 : x
  2. Step 2: Convert to fraction form
    186,997.50/409,047.75 = 409,047.75/x
  3. Step 3: Cross multiply
    186,997.50x = 409,047.75 × 409,047.75
  4. Step 4: Simplify right side
    186,997.50x = 167,320,061,780.06
  5. Step 5: Solve for x
    x = 167,320,061,780.06/186,997.50
  6. Step 6: Final answer
    x = 894,771.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.