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Finding the Third Proportional to 189,536 and 295,707

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Solution

The third proportional to 189,536 and 295,707 is: 461,351.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,536 : 295,707 = 295,707 : x
  2. Step 2: Convert to fraction form
    189,536/295,707 = 295,707/x
  3. Step 3: Cross multiply
    189,536x = 295,707 × 295,707
  4. Step 4: Simplify right side
    189,536x = 87,442,629,849
  5. Step 5: Solve for x
    x = 87,442,629,849/189,536
  6. Step 6: Final answer
    x = 461,351.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.