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Finding the Third Proportional to 178,425 and 371,652

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Solution

The third proportional to 178,425 and 371,652 is: 774,135.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,425 : 371,652 = 371,652 : x
  2. Step 2: Convert to fraction form
    178,425/371,652 = 371,652/x
  3. Step 3: Cross multiply
    178,425x = 371,652 × 371,652
  4. Step 4: Simplify right side
    178,425x = 138,125,209,104
  5. Step 5: Solve for x
    x = 138,125,209,104/178,425
  6. Step 6: Final answer
    x = 774,135.96

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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.