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Finding the Third Proportional to 201,525 and 439,890

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Solution

The third proportional to 201,525 and 439,890 is: 960,194.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,525 : 439,890 = 439,890 : x
  2. Step 2: Convert to fraction form
    201,525/439,890 = 439,890/x
  3. Step 3: Cross multiply
    201,525x = 439,890 × 439,890
  4. Step 4: Simplify right side
    201,525x = 193,503,212,100
  5. Step 5: Solve for x
    x = 193,503,212,100/201,525
  6. Step 6: Final answer
    x = 960,194.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.