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Finding the Third Proportional to 172,107 and 377,457.75

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Solution

The third proportional to 172,107 and 377,457.75 is: 827,824.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,107 : 377,457.75 = 377,457.75 : x
  2. Step 2: Convert to fraction form
    172,107/377,457.75 = 377,457.75/x
  3. Step 3: Cross multiply
    172,107x = 377,457.75 × 377,457.75
  4. Step 4: Simplify right side
    172,107x = 142,474,353,035.06
  5. Step 5: Solve for x
    x = 142,474,353,035.06/172,107
  6. Step 6: Final answer
    x = 827,824.28

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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.