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Finding the Third Proportional to 202,426 and 302,524

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Solution

The third proportional to 202,426 and 302,524 is: 452,119.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,426 : 302,524 = 302,524 : x
  2. Step 2: Convert to fraction form
    202,426/302,524 = 302,524/x
  3. Step 3: Cross multiply
    202,426x = 302,524 × 302,524
  4. Step 4: Simplify right side
    202,426x = 91,520,770,576
  5. Step 5: Solve for x
    x = 91,520,770,576/202,426
  6. Step 6: Final answer
    x = 452,119.64

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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.