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Finding the Third Proportional to 76,410 and 168,366

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Solution

The third proportional to 76,410 and 168,366 is: 370,986.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,410 : 168,366 = 168,366 : x
  2. Step 2: Convert to fraction form
    76,410/168,366 = 168,366/x
  3. Step 3: Cross multiply
    76,410x = 168,366 × 168,366
  4. Step 4: Simplify right side
    76,410x = 28,347,109,956
  5. Step 5: Solve for x
    x = 28,347,109,956/76,410
  6. Step 6: Final answer
    x = 370,986.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.