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Finding the Third Proportional to 176,964 and 388,920

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Solution

The third proportional to 176,964 and 388,920 is: 854,743.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,964 : 388,920 = 388,920 : x
  2. Step 2: Convert to fraction form
    176,964/388,920 = 388,920/x
  3. Step 3: Cross multiply
    176,964x = 388,920 × 388,920
  4. Step 4: Simplify right side
    176,964x = 151,258,766,400
  5. Step 5: Solve for x
    x = 151,258,766,400/176,964
  6. Step 6: Final answer
    x = 854,743.15

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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.