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Finding the Third Proportional to 204,204 and 306,528

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Solution

The third proportional to 204,204 and 306,528 is: 460,125.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,204 : 306,528 = 306,528 : x
  2. Step 2: Convert to fraction form
    204,204/306,528 = 306,528/x
  3. Step 3: Cross multiply
    204,204x = 306,528 × 306,528
  4. Step 4: Simplify right side
    204,204x = 93,959,414,784
  5. Step 5: Solve for x
    x = 93,959,414,784/204,204
  6. Step 6: Final answer
    x = 460,125.24

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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.