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Finding the Third Proportional to 204,617 and 310,085

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Solution

The third proportional to 204,617 and 310,085 is: 469,915.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,617 : 310,085 = 310,085 : x
  2. Step 2: Convert to fraction form
    204,617/310,085 = 310,085/x
  3. Step 3: Cross multiply
    204,617x = 310,085 × 310,085
  4. Step 4: Simplify right side
    204,617x = 96,152,707,225
  5. Step 5: Solve for x
    x = 96,152,707,225/204,617
  6. Step 6: Final answer
    x = 469,915.54

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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.