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Finding the Third Proportional to 204,200 and 306,496

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Solution

The third proportional to 204,200 and 306,496 is: 460,038.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,200 : 306,496 = 306,496 : x
  2. Step 2: Convert to fraction form
    204,200/306,496 = 306,496/x
  3. Step 3: Cross multiply
    204,200x = 306,496 × 306,496
  4. Step 4: Simplify right side
    204,200x = 93,939,798,016
  5. Step 5: Solve for x
    x = 93,939,798,016/204,200
  6. Step 6: Final answer
    x = 460,038.19

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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.