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Finding the Third Proportional to 190,656 and 410,861.25

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Solution

The third proportional to 190,656 and 410,861.25 is: 885,400.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,656 : 410,861.25 = 410,861.25 : x
  2. Step 2: Convert to fraction form
    190,656/410,861.25 = 410,861.25/x
  3. Step 3: Cross multiply
    190,656x = 410,861.25 × 410,861.25
  4. Step 4: Simplify right side
    190,656x = 168,806,966,751.56
  5. Step 5: Solve for x
    x = 168,806,966,751.56/190,656
  6. Step 6: Final answer
    x = 885,400.76

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.