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Finding the Third Proportional to 178,176 and 371,043

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Solution

The third proportional to 178,176 and 371,043 is: 772,679.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,176 : 371,043 = 371,043 : x
  2. Step 2: Convert to fraction form
    178,176/371,043 = 371,043/x
  3. Step 3: Cross multiply
    178,176x = 371,043 × 371,043
  4. Step 4: Simplify right side
    178,176x = 137,672,907,849
  5. Step 5: Solve for x
    x = 137,672,907,849/178,176
  6. Step 6: Final answer
    x = 772,679.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.