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Finding the Third Proportional to 172,648 and 377,318

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Solution

The third proportional to 172,648 and 377,318 is: 824,619.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,648 : 377,318 = 377,318 : x
  2. Step 2: Convert to fraction form
    172,648/377,318 = 377,318/x
  3. Step 3: Cross multiply
    172,648x = 377,318 × 377,318
  4. Step 4: Simplify right side
    172,648x = 142,368,873,124
  5. Step 5: Solve for x
    x = 142,368,873,124/172,648
  6. Step 6: Final answer
    x = 824,619.30

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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.