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Finding the Third Proportional to 173,808 and 376,956

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Solution

The third proportional to 173,808 and 376,956 is: 817,544.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,808 : 376,956 = 376,956 : x
  2. Step 2: Convert to fraction form
    173,808/376,956 = 376,956/x
  3. Step 3: Cross multiply
    173,808x = 376,956 × 376,956
  4. Step 4: Simplify right side
    173,808x = 142,095,825,936
  5. Step 5: Solve for x
    x = 142,095,825,936/173,808
  6. Step 6: Final answer
    x = 817,544.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.