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Finding the Third Proportional to 180,064 and 388,038

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Solution

The third proportional to 180,064 and 388,038 is: 836,222.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,064 : 388,038 = 388,038 : x
  2. Step 2: Convert to fraction form
    180,064/388,038 = 388,038/x
  3. Step 3: Cross multiply
    180,064x = 388,038 × 388,038
  4. Step 4: Simplify right side
    180,064x = 150,573,489,444
  5. Step 5: Solve for x
    x = 150,573,489,444/180,064
  6. Step 6: Final answer
    x = 836,222.06

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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.