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Finding the Third Proportional to 180,416 and 256,446

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Solution

The third proportional to 180,416 and 256,446 is: 364,516.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,416 : 256,446 = 256,446 : x
  2. Step 2: Convert to fraction form
    180,416/256,446 = 256,446/x
  3. Step 3: Cross multiply
    180,416x = 256,446 × 256,446
  4. Step 4: Simplify right side
    180,416x = 65,764,550,916
  5. Step 5: Solve for x
    x = 65,764,550,916/180,416
  6. Step 6: Final answer
    x = 364,516.18

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.