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Finding the Third Proportional to 134,182 and 289,385

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Solution

The third proportional to 134,182 and 289,385 is: 624,105.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,182 : 289,385 = 289,385 : x
  2. Step 2: Convert to fraction form
    134,182/289,385 = 289,385/x
  3. Step 3: Cross multiply
    134,182x = 289,385 × 289,385
  4. Step 4: Simplify right side
    134,182x = 83,743,678,225
  5. Step 5: Solve for x
    x = 83,743,678,225/134,182
  6. Step 6: Final answer
    x = 624,105.16

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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.