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Finding the Third Proportional to 103,197.50 and 210,768

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Solution

The third proportional to 103,197.50 and 210,768 is: 430,467.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,197.50 : 210,768 = 210,768 : x
  2. Step 2: Convert to fraction form
    103,197.50/210,768 = 210,768/x
  3. Step 3: Cross multiply
    103,197.50x = 210,768 × 210,768
  4. Step 4: Simplify right side
    103,197.50x = 44,423,149,824
  5. Step 5: Solve for x
    x = 44,423,149,824/103,197.50
  6. Step 6: Final answer
    x = 430,467.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.