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Finding the Third Proportional to 172,482 and 377,028

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Solution

The third proportional to 172,482 and 377,028 is: 824,144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,482 : 377,028 = 377,028 : x
  2. Step 2: Convert to fraction form
    172,482/377,028 = 377,028/x
  3. Step 3: Cross multiply
    172,482x = 377,028 × 377,028
  4. Step 4: Simplify right side
    172,482x = 142,150,112,784
  5. Step 5: Solve for x
    x = 142,150,112,784/172,482
  6. Step 6: Final answer
    x = 824,144.62

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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.