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Finding the Third Proportional to 194,769 and 292,274

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Solution

The third proportional to 194,769 and 292,274 is: 438,591.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,769 : 292,274 = 292,274 : x
  2. Step 2: Convert to fraction form
    194,769/292,274 = 292,274/x
  3. Step 3: Cross multiply
    194,769x = 292,274 × 292,274
  4. Step 4: Simplify right side
    194,769x = 85,424,091,076
  5. Step 5: Solve for x
    x = 85,424,091,076/194,769
  6. Step 6: Final answer
    x = 438,591.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.