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Finding the Third Proportional to 178,334.50 and 362,895

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Solution

The third proportional to 178,334.50 and 362,895 is: 738,459.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,334.50 : 362,895 = 362,895 : x
  2. Step 2: Convert to fraction form
    178,334.50/362,895 = 362,895/x
  3. Step 3: Cross multiply
    178,334.50x = 362,895 × 362,895
  4. Step 4: Simplify right side
    178,334.50x = 131,692,781,025
  5. Step 5: Solve for x
    x = 131,692,781,025/178,334.50
  6. Step 6: Final answer
    x = 738,459.36

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.