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Finding the Third Proportional to 176,298 and 387,586

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Solution

The third proportional to 176,298 and 387,586 is: 852,096.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,298 : 387,586 = 387,586 : x
  2. Step 2: Convert to fraction form
    176,298/387,586 = 387,586/x
  3. Step 3: Cross multiply
    176,298x = 387,586 × 387,586
  4. Step 4: Simplify right side
    176,298x = 150,222,907,396
  5. Step 5: Solve for x
    x = 150,222,907,396/176,298
  6. Step 6: Final answer
    x = 852,096.49

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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.