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Finding the Third Proportional to 189,734 and 402,832

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Solution

The third proportional to 189,734 and 402,832 is: 855,269.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,734 : 402,832 = 402,832 : x
  2. Step 2: Convert to fraction form
    189,734/402,832 = 402,832/x
  3. Step 3: Cross multiply
    189,734x = 402,832 × 402,832
  4. Step 4: Simplify right side
    189,734x = 162,273,620,224
  5. Step 5: Solve for x
    x = 162,273,620,224/189,734
  6. Step 6: Final answer
    x = 855,269.06

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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.