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Finding the Third Proportional to 180,324 and 256,310

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Solution

The third proportional to 180,324 and 256,310 is: 364,315.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,324 : 256,310 = 256,310 : x
  2. Step 2: Convert to fraction form
    180,324/256,310 = 256,310/x
  3. Step 3: Cross multiply
    180,324x = 256,310 × 256,310
  4. Step 4: Simplify right side
    180,324x = 65,694,816,100
  5. Step 5: Solve for x
    x = 65,694,816,100/180,324
  6. Step 6: Final answer
    x = 364,315.43

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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.