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Finding the Third Proportional to 100,200 and 237,378

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Solution

The third proportional to 100,200 and 237,378 is: 562,358.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,200 : 237,378 = 237,378 : x
  2. Step 2: Convert to fraction form
    100,200/237,378 = 237,378/x
  3. Step 3: Cross multiply
    100,200x = 237,378 × 237,378
  4. Step 4: Simplify right side
    100,200x = 56,348,314,884
  5. Step 5: Solve for x
    x = 56,348,314,884/100,200
  6. Step 6: Final answer
    x = 562,358.43

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.