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Finding the Third Proportional to 189,204 and 292,986

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Solution

The third proportional to 189,204 and 292,986 is: 453,694.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,204 : 292,986 = 292,986 : x
  2. Step 2: Convert to fraction form
    189,204/292,986 = 292,986/x
  3. Step 3: Cross multiply
    189,204x = 292,986 × 292,986
  4. Step 4: Simplify right side
    189,204x = 85,840,796,196
  5. Step 5: Solve for x
    x = 85,840,796,196/189,204
  6. Step 6: Final answer
    x = 453,694.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.