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Finding the Third Proportional to 172,071 and 377,379

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Solution

The third proportional to 172,071 and 377,379 is: 827,652.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,071 : 377,379 = 377,379 : x
  2. Step 2: Convert to fraction form
    172,071/377,379 = 377,379/x
  3. Step 3: Cross multiply
    172,071x = 377,379 × 377,379
  4. Step 4: Simplify right side
    172,071x = 142,414,909,641
  5. Step 5: Solve for x
    x = 142,414,909,641/172,071
  6. Step 6: Final answer
    x = 827,652.01

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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.