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Finding the Third Proportional to 180,324 and 387,224

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Solution

The third proportional to 180,324 and 387,224 is: 831,516.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,324 : 387,224 = 387,224 : x
  2. Step 2: Convert to fraction form
    180,324/387,224 = 387,224/x
  3. Step 3: Cross multiply
    180,324x = 387,224 × 387,224
  4. Step 4: Simplify right side
    180,324x = 149,942,426,176
  5. Step 5: Solve for x
    x = 149,942,426,176/180,324
  6. Step 6: Final answer
    x = 831,516.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.