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Finding the Third Proportional to 176,984 and 388,960

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Solution

The third proportional to 176,984 and 388,960 is: 854,822.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,984 : 388,960 = 388,960 : x
  2. Step 2: Convert to fraction form
    176,984/388,960 = 388,960/x
  3. Step 3: Cross multiply
    176,984x = 388,960 × 388,960
  4. Step 4: Simplify right side
    176,984x = 151,289,881,600
  5. Step 5: Solve for x
    x = 151,289,881,600/176,984
  6. Step 6: Final answer
    x = 854,822.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.