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Finding the Third Proportional to 204,034 and 310,564

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Solution

The third proportional to 204,034 and 310,564 is: 472,715.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,034 : 310,564 = 310,564 : x
  2. Step 2: Convert to fraction form
    204,034/310,564 = 310,564/x
  3. Step 3: Cross multiply
    204,034x = 310,564 × 310,564
  4. Step 4: Simplify right side
    204,034x = 96,449,998,096
  5. Step 5: Solve for x
    x = 96,449,998,096/204,034
  6. Step 6: Final answer
    x = 472,715.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.