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Finding the Third Proportional to 178,949 and 385,918

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Solution

The third proportional to 178,949 and 385,918 is: 832,263.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,949 : 385,918 = 385,918 : x
  2. Step 2: Convert to fraction form
    178,949/385,918 = 385,918/x
  3. Step 3: Cross multiply
    178,949x = 385,918 × 385,918
  4. Step 4: Simplify right side
    178,949x = 148,932,702,724
  5. Step 5: Solve for x
    x = 148,932,702,724/178,949
  6. Step 6: Final answer
    x = 832,263.40

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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.