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Finding the Third Proportional to 193,705.17 and 410,856.05

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Solution

The third proportional to 193,705.17 and 410,856.05 is: 871,441.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,705.17 : 410,856.05 = 410,856.05 : x
  2. Step 2: Convert to fraction form
    193,705.17/410,856.05 = 410,856.05/x
  3. Step 3: Cross multiply
    193,705.17x = 410,856.05 × 410,856.05
  4. Step 4: Simplify right side
    193,705.17x = 168,802,691,253.75
  5. Step 5: Solve for x
    x = 168,802,691,253.75/193,705.17
  6. Step 6: Final answer
    x = 871,441.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.