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Finding the Third Proportional to 194,846 and 292,269

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Solution

The third proportional to 194,846 and 292,269 is: 438,403.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,846 : 292,269 = 292,269 : x
  2. Step 2: Convert to fraction form
    194,846/292,269 = 292,269/x
  3. Step 3: Cross multiply
    194,846x = 292,269 × 292,269
  4. Step 4: Simplify right side
    194,846x = 85,421,168,361
  5. Step 5: Solve for x
    x = 85,421,168,361/194,846
  6. Step 6: Final answer
    x = 438,403.50

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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.