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Finding the Third Proportional to 129,384 and 194,508

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Solution

The third proportional to 129,384 and 194,508 is: 292,411.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,384 : 194,508 = 194,508 : x
  2. Step 2: Convert to fraction form
    129,384/194,508 = 194,508/x
  3. Step 3: Cross multiply
    129,384x = 194,508 × 194,508
  4. Step 4: Simplify right side
    129,384x = 37,833,362,064
  5. Step 5: Solve for x
    x = 37,833,362,064/129,384
  6. Step 6: Final answer
    x = 292,411.44

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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.