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Finding the Third Proportional to 172,526 and 237,573

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Solution

The third proportional to 172,526 and 237,573 is: 327,144.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,526 : 237,573 = 237,573 : x
  2. Step 2: Convert to fraction form
    172,526/237,573 = 237,573/x
  3. Step 3: Cross multiply
    172,526x = 237,573 × 237,573
  4. Step 4: Simplify right side
    172,526x = 56,440,930,329
  5. Step 5: Solve for x
    x = 56,440,930,329/172,526
  6. Step 6: Final answer
    x = 327,144.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.