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Finding the Third Proportional to 129,853 and 194,263

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Solution

The third proportional to 129,853 and 194,263 is: 290,621.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,853 : 194,263 = 194,263 : x
  2. Step 2: Convert to fraction form
    129,853/194,263 = 194,263/x
  3. Step 3: Cross multiply
    129,853x = 194,263 × 194,263
  4. Step 4: Simplify right side
    129,853x = 37,738,113,169
  5. Step 5: Solve for x
    x = 37,738,113,169/129,853
  6. Step 6: Final answer
    x = 290,621.80

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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.