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Finding the Third Proportional to 172,000 and 260,595

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Solution

The third proportional to 172,000 and 260,595 is: 394,824.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,000 : 260,595 = 260,595 : x
  2. Step 2: Convert to fraction form
    172,000/260,595 = 260,595/x
  3. Step 3: Cross multiply
    172,000x = 260,595 × 260,595
  4. Step 4: Simplify right side
    172,000x = 67,909,754,025
  5. Step 5: Solve for x
    x = 67,909,754,025/172,000
  6. Step 6: Final answer
    x = 394,824.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.