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Finding the Third Proportional to 189,435 and 292,596

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Solution

The third proportional to 189,435 and 292,596 is: 451,935.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,435 : 292,596 = 292,596 : x
  2. Step 2: Convert to fraction form
    189,435/292,596 = 292,596/x
  3. Step 3: Cross multiply
    189,435x = 292,596 × 292,596
  4. Step 4: Simplify right side
    189,435x = 85,612,419,216
  5. Step 5: Solve for x
    x = 85,612,419,216/189,435
  6. Step 6: Final answer
    x = 451,935.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.