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Finding the Third Proportional to 172,467 and 377,010

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Solution

The third proportional to 172,467 and 377,010 is: 824,137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,467 : 377,010 = 377,010 : x
  2. Step 2: Convert to fraction form
    172,467/377,010 = 377,010/x
  3. Step 3: Cross multiply
    172,467x = 377,010 × 377,010
  4. Step 4: Simplify right side
    172,467x = 142,136,540,100
  5. Step 5: Solve for x
    x = 142,136,540,100/172,467
  6. Step 6: Final answer
    x = 824,137.60

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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.