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Finding the Third Proportional to 169,212 and 366,720

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Solution

The third proportional to 169,212 and 366,720 is: 794,763.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,212 : 366,720 = 366,720 : x
  2. Step 2: Convert to fraction form
    169,212/366,720 = 366,720/x
  3. Step 3: Cross multiply
    169,212x = 366,720 × 366,720
  4. Step 4: Simplify right side
    169,212x = 134,483,558,400
  5. Step 5: Solve for x
    x = 134,483,558,400/169,212
  6. Step 6: Final answer
    x = 794,763.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.