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Finding the Third Proportional to 201,328 and 302,496

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Solution

The third proportional to 201,328 and 302,496 is: 454,501.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,328 : 302,496 = 302,496 : x
  2. Step 2: Convert to fraction form
    201,328/302,496 = 302,496/x
  3. Step 3: Cross multiply
    201,328x = 302,496 × 302,496
  4. Step 4: Simplify right side
    201,328x = 91,503,830,016
  5. Step 5: Solve for x
    x = 91,503,830,016/201,328
  6. Step 6: Final answer
    x = 454,501.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.