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Finding the Third Proportional to 170,784 and 374,832

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Solution

The third proportional to 170,784 and 374,832 is: 822,670.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,784 : 374,832 = 374,832 : x
  2. Step 2: Convert to fraction form
    170,784/374,832 = 374,832/x
  3. Step 3: Cross multiply
    170,784x = 374,832 × 374,832
  4. Step 4: Simplify right side
    170,784x = 140,499,028,224
  5. Step 5: Solve for x
    x = 140,499,028,224/170,784
  6. Step 6: Final answer
    x = 822,670.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.