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Finding the Third Proportional to 166,605.19 and 238,077.56

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Solution

The third proportional to 166,605.19 and 238,077.56 is: 340,211.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,605.19 : 238,077.56 = 238,077.56 : x
  2. Step 2: Convert to fraction form
    166,605.19/238,077.56 = 238,077.56/x
  3. Step 3: Cross multiply
    166,605.19x = 238,077.56 × 238,077.56
  4. Step 4: Simplify right side
    166,605.19x = 56,680,925,765.94
  5. Step 5: Solve for x
    x = 56,680,925,765.94/166,605.19
  6. Step 6: Final answer
    x = 340,211.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.