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Finding the Third Proportional to 78,396 and 166,476

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Solution

The third proportional to 78,396 and 166,476 is: 353,516.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,396 : 166,476 = 166,476 : x
  2. Step 2: Convert to fraction form
    78,396/166,476 = 166,476/x
  3. Step 3: Cross multiply
    78,396x = 166,476 × 166,476
  4. Step 4: Simplify right side
    78,396x = 27,714,258,576
  5. Step 5: Solve for x
    x = 27,714,258,576/78,396
  6. Step 6: Final answer
    x = 353,516.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.