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Finding the Third Proportional to 146,160 and 315,634

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Solution

The third proportional to 146,160 and 315,634 is: 681,614.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,160 : 315,634 = 315,634 : x
  2. Step 2: Convert to fraction form
    146,160/315,634 = 315,634/x
  3. Step 3: Cross multiply
    146,160x = 315,634 × 315,634
  4. Step 4: Simplify right side
    146,160x = 99,624,821,956
  5. Step 5: Solve for x
    x = 99,624,821,956/146,160
  6. Step 6: Final answer
    x = 681,614.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.