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Finding the Third Proportional to 134,194 and 289,405

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Solution

The third proportional to 134,194 and 289,405 is: 624,135.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,194 : 289,405 = 289,405 : x
  2. Step 2: Convert to fraction form
    134,194/289,405 = 289,405/x
  3. Step 3: Cross multiply
    134,194x = 289,405 × 289,405
  4. Step 4: Simplify right side
    134,194x = 83,755,254,025
  5. Step 5: Solve for x
    x = 83,755,254,025/134,194
  6. Step 6: Final answer
    x = 624,135.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.