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Finding the Third Proportional to 189,732 and 402,828

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Solution

The third proportional to 189,732 and 402,828 is: 855,261.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,732 : 402,828 = 402,828 : x
  2. Step 2: Convert to fraction form
    189,732/402,828 = 402,828/x
  3. Step 3: Cross multiply
    189,732x = 402,828 × 402,828
  4. Step 4: Simplify right side
    189,732x = 162,270,397,584
  5. Step 5: Solve for x
    x = 162,270,397,584/189,732
  6. Step 6: Final answer
    x = 855,261.09

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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.