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Finding the Third Proportional to 180,051 and 388,014

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Solution

The third proportional to 180,051 and 388,014 is: 836,178.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,051 : 388,014 = 388,014 : x
  2. Step 2: Convert to fraction form
    180,051/388,014 = 388,014/x
  3. Step 3: Cross multiply
    180,051x = 388,014 × 388,014
  4. Step 4: Simplify right side
    180,051x = 150,554,864,196
  5. Step 5: Solve for x
    x = 150,554,864,196/180,051
  6. Step 6: Final answer
    x = 836,178.99

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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.