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Finding the Third Proportional to 178,852 and 379,028

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Solution

The third proportional to 178,852 and 379,028 is: 803,246.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,852 : 379,028 = 379,028 : x
  2. Step 2: Convert to fraction form
    178,852/379,028 = 379,028/x
  3. Step 3: Cross multiply
    178,852x = 379,028 × 379,028
  4. Step 4: Simplify right side
    178,852x = 143,662,224,784
  5. Step 5: Solve for x
    x = 143,662,224,784/178,852
  6. Step 6: Final answer
    x = 803,246.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.