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Finding the Third Proportional to 180,062 and 388,034

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Solution

The third proportional to 180,062 and 388,034 is: 836,214.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,062 : 388,034 = 388,034 : x
  2. Step 2: Convert to fraction form
    180,062/388,034 = 388,034/x
  3. Step 3: Cross multiply
    180,062x = 388,034 × 388,034
  4. Step 4: Simplify right side
    180,062x = 150,570,385,156
  5. Step 5: Solve for x
    x = 150,570,385,156/180,062
  6. Step 6: Final answer
    x = 836,214.11

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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.