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Finding the Third Proportional to 172,573 and 353,510

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Solution

The third proportional to 172,573 and 353,510 is: 724,153.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,573 : 353,510 = 353,510 : x
  2. Step 2: Convert to fraction form
    172,573/353,510 = 353,510/x
  3. Step 3: Cross multiply
    172,573x = 353,510 × 353,510
  4. Step 4: Simplify right side
    172,573x = 124,969,320,100
  5. Step 5: Solve for x
    x = 124,969,320,100/172,573
  6. Step 6: Final answer
    x = 724,153.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.