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Finding the Third Proportional to 151,034 and 352,745

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Solution

The third proportional to 151,034 and 352,745 is: 823,847.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,034 : 352,745 = 352,745 : x
  2. Step 2: Convert to fraction form
    151,034/352,745 = 352,745/x
  3. Step 3: Cross multiply
    151,034x = 352,745 × 352,745
  4. Step 4: Simplify right side
    151,034x = 124,429,035,025
  5. Step 5: Solve for x
    x = 124,429,035,025/151,034
  6. Step 6: Final answer
    x = 823,847.84

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.