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Finding the Third Proportional to 173,672 and 378,448

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Solution

The third proportional to 173,672 and 378,448 is: 824,674.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,672 : 378,448 = 378,448 : x
  2. Step 2: Convert to fraction form
    173,672/378,448 = 378,448/x
  3. Step 3: Cross multiply
    173,672x = 378,448 × 378,448
  4. Step 4: Simplify right side
    173,672x = 143,222,888,704
  5. Step 5: Solve for x
    x = 143,222,888,704/173,672
  6. Step 6: Final answer
    x = 824,674.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.