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Finding the Third Proportional to 194,179.50 and 262,348

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Solution

The third proportional to 194,179.50 and 262,348 is: 354,447.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,179.50 : 262,348 = 262,348 : x
  2. Step 2: Convert to fraction form
    194,179.50/262,348 = 262,348/x
  3. Step 3: Cross multiply
    194,179.50x = 262,348 × 262,348
  4. Step 4: Simplify right side
    194,179.50x = 68,826,473,104
  5. Step 5: Solve for x
    x = 68,826,473,104/194,179.50
  6. Step 6: Final answer
    x = 354,447.68

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.