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Finding the Third Proportional to 189,096.75 and 409,695.75

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Solution

The third proportional to 189,096.75 and 409,695.75 is: 887,644.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,096.75 : 409,695.75 = 409,695.75 : x
  2. Step 2: Convert to fraction form
    189,096.75/409,695.75 = 409,695.75/x
  3. Step 3: Cross multiply
    189,096.75x = 409,695.75 × 409,695.75
  4. Step 4: Simplify right side
    189,096.75x = 167,850,607,568.06
  5. Step 5: Solve for x
    x = 167,850,607,568.06/189,096.75
  6. Step 6: Final answer
    x = 887,644.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.