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Finding the Third Proportional to 166,460 and 260,847.75

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Solution

The third proportional to 166,460 and 260,847.75 is: 408,756.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,460 : 260,847.75 = 260,847.75 : x
  2. Step 2: Convert to fraction form
    166,460/260,847.75 = 260,847.75/x
  3. Step 3: Cross multiply
    166,460x = 260,847.75 × 260,847.75
  4. Step 4: Simplify right side
    166,460x = 68,041,548,680.06
  5. Step 5: Solve for x
    x = 68,041,548,680.06/166,460
  6. Step 6: Final answer
    x = 408,756.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.