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Finding the Third Proportional to 180,168 and 382,558

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Solution

The third proportional to 180,168 and 382,558 is: 812,300.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,168 : 382,558 = 382,558 : x
  2. Step 2: Convert to fraction form
    180,168/382,558 = 382,558/x
  3. Step 3: Cross multiply
    180,168x = 382,558 × 382,558
  4. Step 4: Simplify right side
    180,168x = 146,350,623,364
  5. Step 5: Solve for x
    x = 146,350,623,364/180,168
  6. Step 6: Final answer
    x = 812,300.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.