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Finding the Third Proportional to 237,206 and 360,697

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Solution

The third proportional to 237,206 and 360,697 is: 548,478.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,206 : 360,697 = 360,697 : x
  2. Step 2: Convert to fraction form
    237,206/360,697 = 360,697/x
  3. Step 3: Cross multiply
    237,206x = 360,697 × 360,697
  4. Step 4: Simplify right side
    237,206x = 130,102,325,809
  5. Step 5: Solve for x
    x = 130,102,325,809/237,206
  6. Step 6: Final answer
    x = 548,478.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.