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Finding the Third Proportional to 151,022 and 352,715

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Solution

The third proportional to 151,022 and 352,715 is: 823,773.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,022 : 352,715 = 352,715 : x
  2. Step 2: Convert to fraction form
    151,022/352,715 = 352,715/x
  3. Step 3: Cross multiply
    151,022x = 352,715 × 352,715
  4. Step 4: Simplify right side
    151,022x = 124,407,871,225
  5. Step 5: Solve for x
    x = 124,407,871,225/151,022
  6. Step 6: Final answer
    x = 823,773.17

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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.