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Finding the Third Proportional to 164,772 and 359,744

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Solution

The third proportional to 164,772 and 359,744 is: 785,423.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,772 : 359,744 = 359,744 : x
  2. Step 2: Convert to fraction form
    164,772/359,744 = 359,744/x
  3. Step 3: Cross multiply
    164,772x = 359,744 × 359,744
  4. Step 4: Simplify right side
    164,772x = 129,415,745,536
  5. Step 5: Solve for x
    x = 129,415,745,536/164,772
  6. Step 6: Final answer
    x = 785,423.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.