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Finding the Third Proportional to 166,900.50 and 246,682.50

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Solution

The third proportional to 166,900.50 and 246,682.50 is: 364,602.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,900.50 : 246,682.50 = 246,682.50 : x
  2. Step 2: Convert to fraction form
    166,900.50/246,682.50 = 246,682.50/x
  3. Step 3: Cross multiply
    166,900.50x = 246,682.50 × 246,682.50
  4. Step 4: Simplify right side
    166,900.50x = 60,852,255,806.25
  5. Step 5: Solve for x
    x = 60,852,255,806.25/166,900.50
  6. Step 6: Final answer
    x = 364,602.00

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.