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Finding the Third Proportional to 172,606 and 377,252

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Solution

The third proportional to 172,606 and 377,252 is: 824,531.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,606 : 377,252 = 377,252 : x
  2. Step 2: Convert to fraction form
    172,606/377,252 = 377,252/x
  3. Step 3: Cross multiply
    172,606x = 377,252 × 377,252
  4. Step 4: Simplify right side
    172,606x = 142,319,071,504
  5. Step 5: Solve for x
    x = 142,319,071,504/172,606
  6. Step 6: Final answer
    x = 824,531.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.