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Finding the Third Proportional to 164,620 and 360,697

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Solution

The third proportional to 164,620 and 360,697 is: 790,319.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,620 : 360,697 = 360,697 : x
  2. Step 2: Convert to fraction form
    164,620/360,697 = 360,697/x
  3. Step 3: Cross multiply
    164,620x = 360,697 × 360,697
  4. Step 4: Simplify right side
    164,620x = 130,102,325,809
  5. Step 5: Solve for x
    x = 130,102,325,809/164,620
  6. Step 6: Final answer
    x = 790,319.07

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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.