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Finding the Third Proportional to 166,576.50 and 243,641.67

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Solution

The third proportional to 166,576.50 and 243,641.67 is: 356,360.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,576.50 : 243,641.67 = 243,641.67 : x
  2. Step 2: Convert to fraction form
    166,576.50/243,641.67 = 243,641.67/x
  3. Step 3: Cross multiply
    166,576.50x = 243,641.67 × 243,641.67
  4. Step 4: Simplify right side
    166,576.50x = 59,361,264,274.05
  5. Step 5: Solve for x
    x = 59,361,264,274.05/166,576.50
  6. Step 6: Final answer
    x = 356,360.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.