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Finding the Third Proportional to 180,051 and 388,013

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Solution

The third proportional to 180,051 and 388,013 is: 836,174.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,051 : 388,013 = 388,013 : x
  2. Step 2: Convert to fraction form
    180,051/388,013 = 388,013/x
  3. Step 3: Cross multiply
    180,051x = 388,013 × 388,013
  4. Step 4: Simplify right side
    180,051x = 150,554,088,169
  5. Step 5: Solve for x
    x = 150,554,088,169/180,051
  6. Step 6: Final answer
    x = 836,174.68

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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.