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Finding the Third Proportional to 174,944 and 376,672

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Solution

The third proportional to 174,944 and 376,672 is: 811,012.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,944 : 376,672 = 376,672 : x
  2. Step 2: Convert to fraction form
    174,944/376,672 = 376,672/x
  3. Step 3: Cross multiply
    174,944x = 376,672 × 376,672
  4. Step 4: Simplify right side
    174,944x = 141,881,795,584
  5. Step 5: Solve for x
    x = 141,881,795,584/174,944
  6. Step 6: Final answer
    x = 811,012.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.