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Finding the Third Proportional to 194,141 and 415,269

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Solution

The third proportional to 194,141 and 415,269 is: 888,263.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,141 : 415,269 = 415,269 : x
  2. Step 2: Convert to fraction form
    194,141/415,269 = 415,269/x
  3. Step 3: Cross multiply
    194,141x = 415,269 × 415,269
  4. Step 4: Simplify right side
    194,141x = 172,448,342,361
  5. Step 5: Solve for x
    x = 172,448,342,361/194,141
  6. Step 6: Final answer
    x = 888,263.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.