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Finding the Third Proportional to 178,677.50 and 372,051.50

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Solution

The third proportional to 178,677.50 and 372,051.50 is: 774,704.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,677.50 : 372,051.50 = 372,051.50 : x
  2. Step 2: Convert to fraction form
    178,677.50/372,051.50 = 372,051.50/x
  3. Step 3: Cross multiply
    178,677.50x = 372,051.50 × 372,051.50
  4. Step 4: Simplify right side
    178,677.50x = 138,422,318,652.25
  5. Step 5: Solve for x
    x = 138,422,318,652.25/178,677.50
  6. Step 6: Final answer
    x = 774,704.81

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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.