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Finding the Third Proportional to 204,482 and 310,397

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Solution

The third proportional to 204,482 and 310,397 is: 471,172.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,482 : 310,397 = 310,397 : x
  2. Step 2: Convert to fraction form
    204,482/310,397 = 310,397/x
  3. Step 3: Cross multiply
    204,482x = 310,397 × 310,397
  4. Step 4: Simplify right side
    204,482x = 96,346,297,609
  5. Step 5: Solve for x
    x = 96,346,297,609/204,482
  6. Step 6: Final answer
    x = 471,172.51

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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.