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Finding the Third Proportional to 204,196 and 306,490

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Solution

The third proportional to 204,196 and 306,490 is: 460,029.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,196 : 306,490 = 306,490 : x
  2. Step 2: Convert to fraction form
    204,196/306,490 = 306,490/x
  3. Step 3: Cross multiply
    204,196x = 306,490 × 306,490
  4. Step 4: Simplify right side
    204,196x = 93,936,120,100
  5. Step 5: Solve for x
    x = 93,936,120,100/204,196
  6. Step 6: Final answer
    x = 460,029.19

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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.