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Finding the Third Proportional to 178,956 and 385,938

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Solution

The third proportional to 178,956 and 385,938 is: 832,317.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,956 : 385,938 = 385,938 : x
  2. Step 2: Convert to fraction form
    178,956/385,938 = 385,938/x
  3. Step 3: Cross multiply
    178,956x = 385,938 × 385,938
  4. Step 4: Simplify right side
    178,956x = 148,948,139,844
  5. Step 5: Solve for x
    x = 148,948,139,844/178,956
  6. Step 6: Final answer
    x = 832,317.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.