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Finding the Third Proportional to 76,412 and 168,370

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Solution

The third proportional to 76,412 and 168,370 is: 370,994.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,412 : 168,370 = 168,370 : x
  2. Step 2: Convert to fraction form
    76,412/168,370 = 168,370/x
  3. Step 3: Cross multiply
    76,412x = 168,370 × 168,370
  4. Step 4: Simplify right side
    76,412x = 28,348,456,900
  5. Step 5: Solve for x
    x = 28,348,456,900/76,412
  6. Step 6: Final answer
    x = 370,994.83

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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.