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Finding the Third Proportional to 194,184 and 292,644

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Solution

The third proportional to 194,184 and 292,644 is: 441,027.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,184 : 292,644 = 292,644 : x
  2. Step 2: Convert to fraction form
    194,184/292,644 = 292,644/x
  3. Step 3: Cross multiply
    194,184x = 292,644 × 292,644
  4. Step 4: Simplify right side
    194,184x = 85,640,510,736
  5. Step 5: Solve for x
    x = 85,640,510,736/194,184
  6. Step 6: Final answer
    x = 441,027.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.