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Finding the Third Proportional to 189,132 and 292,836

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Solution

The third proportional to 189,132 and 292,836 is: 453,402.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,132 : 292,836 = 292,836 : x
  2. Step 2: Convert to fraction form
    189,132/292,836 = 292,836/x
  3. Step 3: Cross multiply
    189,132x = 292,836 × 292,836
  4. Step 4: Simplify right side
    189,132x = 85,752,922,896
  5. Step 5: Solve for x
    x = 85,752,922,896/189,132
  6. Step 6: Final answer
    x = 453,402.51

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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.