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Finding the Third Proportional to 164,746 and 361,568

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Solution

The third proportional to 164,746 and 361,568 is: 793,533.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,746 : 361,568 = 361,568 : x
  2. Step 2: Convert to fraction form
    164,746/361,568 = 361,568/x
  3. Step 3: Cross multiply
    164,746x = 361,568 × 361,568
  4. Step 4: Simplify right side
    164,746x = 130,731,418,624
  5. Step 5: Solve for x
    x = 130,731,418,624/164,746
  6. Step 6: Final answer
    x = 793,533.19

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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.