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Finding the Third Proportional to 164,706 and 385,125

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Solution

The third proportional to 164,706 and 385,125 is: 900,521.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,706 : 385,125 = 385,125 : x
  2. Step 2: Convert to fraction form
    164,706/385,125 = 385,125/x
  3. Step 3: Cross multiply
    164,706x = 385,125 × 385,125
  4. Step 4: Simplify right side
    164,706x = 148,321,265,625
  5. Step 5: Solve for x
    x = 148,321,265,625/164,706
  6. Step 6: Final answer
    x = 900,521.33

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.