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Finding the Third Proportional to 207,926 and 302,197

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Solution

The third proportional to 207,926 and 302,197 is: 439,209.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,926 : 302,197 = 302,197 : x
  2. Step 2: Convert to fraction form
    207,926/302,197 = 302,197/x
  3. Step 3: Cross multiply
    207,926x = 302,197 × 302,197
  4. Step 4: Simplify right side
    207,926x = 91,323,026,809
  5. Step 5: Solve for x
    x = 91,323,026,809/207,926
  6. Step 6: Final answer
    x = 439,209.27

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.