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Finding the Third Proportional to 201,720 and 434,232

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Solution

The third proportional to 201,720 and 434,232 is: 934,748.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,720 : 434,232 = 434,232 : x
  2. Step 2: Convert to fraction form
    201,720/434,232 = 434,232/x
  3. Step 3: Cross multiply
    201,720x = 434,232 × 434,232
  4. Step 4: Simplify right side
    201,720x = 188,557,429,824
  5. Step 5: Solve for x
    x = 188,557,429,824/201,720
  6. Step 6: Final answer
    x = 934,748.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.