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Finding the Third Proportional to 202,324 and 302,098

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Solution

The third proportional to 202,324 and 302,098 is: 451,074.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,324 : 302,098 = 302,098 : x
  2. Step 2: Convert to fraction form
    202,324/302,098 = 302,098/x
  3. Step 3: Cross multiply
    202,324x = 302,098 × 302,098
  4. Step 4: Simplify right side
    202,324x = 91,263,201,604
  5. Step 5: Solve for x
    x = 91,263,201,604/202,324
  6. Step 6: Final answer
    x = 451,074.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.