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Finding the Third Proportional to 76,429 and 164,576

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Solution

The third proportional to 76,429 and 164,576 is: 354,384.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,429 : 164,576 = 164,576 : x
  2. Step 2: Convert to fraction form
    76,429/164,576 = 164,576/x
  3. Step 3: Cross multiply
    76,429x = 164,576 × 164,576
  4. Step 4: Simplify right side
    76,429x = 27,085,259,776
  5. Step 5: Solve for x
    x = 27,085,259,776/76,429
  6. Step 6: Final answer
    x = 354,384.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.